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Navigation By Smartphone: A Field Geologist Argues That Devices Complement Physical Maps, Richard Allmendinger Sep 2025

Navigation By Smartphone: A Field Geologist Argues That Devices Complement Physical Maps, Richard Allmendinger

Appalachia

An argument that smartphones—in the right hands, and with the right app—replace gadgets like alarm clocks, cameras, and weather radios and can outpace physical maps with the right apps.


Road Performance Evaluation Of Preventive Maintenance Techniques For Asphalt Pavements, Fansheng Kong, Yalong Li, Ruilin Wang, Xing Hu, Miao Yu, Dongzhao Jin Sep 2025

Road Performance Evaluation Of Preventive Maintenance Techniques For Asphalt Pavements, Fansheng Kong, Yalong Li, Ruilin Wang, Xing Hu, Miao Yu, Dongzhao Jin

Michigan Tech Publications

Preventive maintenance treatments are widely applied to asphalt pavements to mitigate deterioration and extend service life. This study evaluated four common technologies: a high-elasticity ultra-thin overlay, an Stone Mastic Asphalt (SMA)-10 thin overlay, micro-surfacing (MS-III), and a chip seal. Laboratory testing focused on skid resistance, surface texture, and low-temperature cracking resistance. Skid resistance was measured with a tire–pavement dynamic friction analyzer under controlled load and speed, while surface macrotexture was assessed using a laser scanner. Low-temperature cracking resistance was determined through three-point bending beam tests at −10 °C. The results showed that chip seal achieved the highest initial friction and …


Development Of A Water Temperature Modeling Platform To Support Short- And Long-Term Water Temperature Management In Reservoir-River Systems, Michael Deas, Yung-Hsin Sun, John Degeorge, Benjamin T. Saenz, Thomas A. Evans, Scott Burdick-Yahya, Stephen Andrews, Jeff Schuyler, William Candy, Lin Zheng, Scott Wells, Multiple Additional Authors Sep 2025

Development Of A Water Temperature Modeling Platform To Support Short- And Long-Term Water Temperature Management In Reservoir-River Systems, Michael Deas, Yung-Hsin Sun, John Degeorge, Benjamin T. Saenz, Thomas A. Evans, Scott Burdick-Yahya, Stephen Andrews, Jeff Schuyler, William Candy, Lin Zheng, Scott Wells, Multiple Additional Authors

Civil and Environmental Engineering Faculty Publications and Presentations

The U.S. Department of the Interior, Bureau of Reclamation (Reclamation) supports water temperature management for fishery species protection in downstream river reaches below Central Valley Project (CVP) reservoirs in the Sacramento, American, and Stanislaus River systems. The Water Temperature Modeling Platform (WTMP) Project was initiated to modernize and enhance modeling capabilities to predict summer–fall water temperature through reservoir cold water pool management using temperature control facilities designed for temperature management. The WTMP supports forecasts, historical analyses, and long-term planning efforts and advances previous modeling approaches by using an integrated modeling platform. This platform includes a data management system that acquires …


Molecular Architecture And Mechanical Response In Polymeric Materials: Thin Films, Linear-Ring Elastomers, And Lignin, Siteng Zhang Sep 2025

Molecular Architecture And Mechanical Response In Polymeric Materials: Thin Films, Linear-Ring Elastomers, And Lignin, Siteng Zhang

Theses and Dissertations

Understanding the mechanical behavior of polymeric materials is critical to advancing modern technologies, from flexible electronics to sustainable adhesives. This dissertation investigates the micromechanics of polymer thin films, dual-network elastomers, and bio-based lignin materials, with an emphasis on deformation mechanisms, network topology, and mechanical properties. The work combines principles of polymer physics with materials science to uncover structure–property relationships that inform polymer design. This dissertation primarily uses coarse-grained and atomistic molecular dynamics simulations to investigate molecular-scale behavior beyond experimental reach. Through these methods, critical insights are gained into how entanglement, topology, and chain architecture govern bulk material performance. The first …


Laboratory Experiments Reveal Transient Fluctuations In Ice Mélange Velocity And Stress During Periods Of Quasistatic Flow, Kavinda Nissanka, Nandish Vora, Joshua Méndez Harper, Justin C. Burton, Jason M. Amundson, Alexander A. Robel, Yue Meng, Ching-Yao Lai Sep 2025

Laboratory Experiments Reveal Transient Fluctuations In Ice Mélange Velocity And Stress During Periods Of Quasistatic Flow, Kavinda Nissanka, Nandish Vora, Joshua Méndez Harper, Justin C. Burton, Jason M. Amundson, Alexander A. Robel, Yue Meng, Ching-Yao Lai

Faculty, Staff, and Students

Accurately predicting Greenland's ice mass loss is crucial for understanding future sea level rise. Approximately 50% of the mass loss results from iceberg calving at the ice-ocean interface. Ice mélange, a jammed, buoyant granular material that extends for 10 km or more in Greenland's largest fjords, can inhibit iceberg calving and discharge by transmitting shear stresses from fjord walls to glacier termini. Direct measurements of these resistive force dynamics are not possible in the field, thus, we created a scaled-down laboratory experiment to study jammed-packed ice mélange mechanics. We recorded videos of the mélange surface motion and subsurface profile during …


Pediatric Epilepsy Surgery: The Noninvasive Presurgical Evaluation, Deepankar Mohanty, Michael Quach Sep 2025

Pediatric Epilepsy Surgery: The Noninvasive Presurgical Evaluation, Deepankar Mohanty, Michael Quach

Faculty, Staff and Students Publications

Background: Drug-resistant epilepsy is a debilitating condition that afflicts individuals across all demographics, including children. The only recourse for many of these individuals is neurosurgery to reduce seizure burden, by either resecting or ablating the cerebral source or modulating it with a stimulator device. In either case, a thorough presurgical evaluation is required to identify brain regions of interest and construct an appropriate surgical plan. The scope of this evaluation has grown rapidly over the years as new and refined techniques have emerged. The aim of this article was to condense the most salient points regarding investigational tools used commonly …


Coumarin/Nitrogen-Bearing Heterocyclic Hybridloaded Electrospun Pmma/Pvp Nanofibrous Scaffolds For Accelerating Topical Wound Healing Rates: Synthesis And In Vitro Bio-Evaluation, Samar A. Salim, Mohamed Ali, Tasneem Abed, El Badawy Kamoun Sep 2025

Coumarin/Nitrogen-Bearing Heterocyclic Hybridloaded Electrospun Pmma/Pvp Nanofibrous Scaffolds For Accelerating Topical Wound Healing Rates: Synthesis And In Vitro Bio-Evaluation, Samar A. Salim, Mohamed Ali, Tasneem Abed, El Badawy Kamoun

Nanotechnology Research Centre

Coumarin-nitrogen heterocyclic compounds (e.g. quinoline, acridine, and phthalazine) were synthesized by facile reactions and elucidated by FTIR, 1H, and 13C-NMR analyses, which showed consistency with the expected structures. Coumarin-quinoline (drug A)- and coumarin-acridine (drug B)-loaded electrospun PMMA/PVP nanofibrous scaffolds were fabricated using electrospinning techniques. Results showed a successful PMMA/PVP blend, which formed the matrix that was used as the main scaffold for drug loading/release. The drugs (A and B) were encapsulated within the matrix as verified by IR and SEM results. Bio-evaluation through cytotoxicity and anticancer screening was conducted using the MTT assay against lung fibroblast (Wi-38), colon carcinoma (Caco-2), …


Uteach A Quarter Of Century In Review: Impacts, Challenges, And New Directions In Stem Teacher Preparation, Patrick Mcguire, Mary Urquhart, Mary Enderson, Kimberly Hughes, Michael Marder, Elizabeth R. Goldberg Sep 2025

Uteach A Quarter Of Century In Review: Impacts, Challenges, And New Directions In Stem Teacher Preparation, Patrick Mcguire, Mary Urquhart, Mary Enderson, Kimberly Hughes, Michael Marder, Elizabeth R. Goldberg

School of Integrative Biological & Chemical Sciences Faculty Publications

This article provides a summary of the first quarter century of the UTeach secondary STEM teacher preparation program (from 1997-2022). In addition to UTeach program expansion and impact statistics, we highlight current challenges faced by secondary STEM teacher preparation programs, including overall declines in university-based enrollments. To conclude, we discuss new directions of UTeach and offer recommendations for ways that university-based stakeholders can work together with K-12 district partners to make a positive impact on teacher preparation and STEM education for the next 25 years.


Register Blocking: A Source-To-Source Analytical Modelling Approach For Affine Loop Kernels, Theologos Anthimopoulos, Georgios Keramidas, Vasilios Kelefouras, Iakovos Stamoulis Sep 2025

Register Blocking: A Source-To-Source Analytical Modelling Approach For Affine Loop Kernels, Theologos Anthimopoulos, Georgios Keramidas, Vasilios Kelefouras, Iakovos Stamoulis

School of Engineering, Computing and Mathematics

Register Blocking (RB), also known as ‘Register-level Tiling’ or ‘unroll-and-jam,’ is a key compiler optimizationfor developing efficient micro-kernels. However, applying RB effectively is a complex task due to severalchallenges. First, the exploration space of possible RB configurations is vast. Second, RB and loop permutationare interdependent; therefore, addressing both optimizations simultaneously further inflates the explorationspace. Third, the effectiveness of RB is highly dependent on the target hardware platform and the specific loopkernel being optimized. As a result, an extensive and time-consuming fine-tuning process is necessary forachieving an efficient implementation.To address these challenges, a source-to-source analytical modelling approach is proposed. The RB …


Bees (Hymenoptera: Anthophila) Of Seasonal Herbaceous Wetlands In Mississippi, Haley Hughes, Katherine A. Parys, Kim T. Huntzinger, Caleb Lankford, Christine Fortuin, J. Brian Davis Sep 2025

Bees (Hymenoptera: Anthophila) Of Seasonal Herbaceous Wetlands In Mississippi, Haley Hughes, Katherine A. Parys, Kim T. Huntzinger, Caleb Lankford, Christine Fortuin, J. Brian Davis

Publications

Seasonal wetlands help meet the biological needs of various autumn migrating and wintering waterfowl species in North America (Reinecke et al. 1989). Management of seasonally flooded impoundments often uses soil and vegetation disturbances and water management to promote early succession plants that produce abundant seeds for foraging birds (Low and Bellrose 1944, Kross et al. 2008). Native bees (Hymenoptera: Anthophila) also occupy these wetland habitats, as they are attracted to a diversity of flowering plants (Stephenson et al. 2018).

The Mississippi Alluvial Valley (MAV) is an alluvial plain and once represented by nearly 10 million ha of bottomland hardwood forests, …


Enhancing Nursing Curriculum With Ai: Integrating Generative Technology In Nursing Education, Karen E. Alexander, Kechi Iheduru-Anderson Sep 2025

Enhancing Nursing Curriculum With Ai: Integrating Generative Technology In Nursing Education, Karen E. Alexander, Kechi Iheduru-Anderson

International Nursing Research Congress (INRC)

Purpose: This presentation aims to explore integrating generative AI technology, such as ChatGPT, into nursing education to support curriculum development, enhance student engagement, and improve learning outcomes. This study examines how AI can be incorporated to enrich pedagogical approaches in nursing, ensuring that students are well-prepared for complex, evolving healthcare environments.

Background: As healthcare settings become increasingly technologically advanced, nursing education must evolve to prepare students for ever-changing clinical practice. AI technologies, particularly generative AI models, present significant potential for transforming nursing education by promoting active learning, fostering critical thinking, and enabling personalized learning pathways. However, AI in education poses …


Beyond Borders: Sustainable Development Goals As A Nursing Education Framework, Olivia Catolico, Jane Anyango, Andrea Boyle Sep 2025

Beyond Borders: Sustainable Development Goals As A Nursing Education Framework, Olivia Catolico, Jane Anyango, Andrea Boyle

International Nursing Research Congress (INRC)

Introduction: Nurse educators prepare graduates as effective and compassionate clinicians. Global conditions demand sustainable health solutions centered within cultural contexts. The United Nations Sustainable Development Goals (SDGs) that intersect with health are a vital framework for education. The impacts of Covid on learning and infrastructure losses have long term consequences on quality education, and loss of human capital (UN, 2024; ICN 2023).

The SDGs and social determinants of health framed educational project goals between two schools in different countries: (1) to engage students and faculty in collaborative learning experiences, and (2) to collectively explore social determinants of health and care …


Exploring Factors Affecting Global Health Nurse Partnerships: Rwanda Human Resources-Health Program, Nanyombi Lubimbi, Jillian Pintye, Leah C. Neubauer, Madeleine Mukeshimana, Natasha Crooks, Rohan Jeremiah, Sarah Abboud, Cynthia Fritschi Sep 2025

Exploring Factors Affecting Global Health Nurse Partnerships: Rwanda Human Resources-Health Program, Nanyombi Lubimbi, Jillian Pintye, Leah C. Neubauer, Madeleine Mukeshimana, Natasha Crooks, Rohan Jeremiah, Sarah Abboud, Cynthia Fritschi

International Nursing Research Congress (INRC)

Background: Low- and lower-middle-income countries (LMICs) account for 89% of the global shortage of nurses and midwives,1,2 with inadequate training to address population health needs.3,4 Nurse leaders are vital in addressing this shortage through education and training.5 One approach to nurse leadership development is to foster partnerships between institutions and governments in high-income countries and LMICs through twinning.6 Twinning partnerships were exemplified by the Rwanda Human Resources for Health (HRH) program (2012-2019). While twinning partnerships are beneficial in training nurse leaders in LMICs,7,8,9 not enough is known about the factors that affect global health nurse …


Hamiltonian-Based Quantum Generative Autoencoder System And Method Thereof, Fuming Guo Sep 2025

Hamiltonian-Based Quantum Generative Autoencoder System And Method Thereof, Fuming Guo

Defensive Publications Series

The present disclosure relates to a system and method for Hamiltonian-Based Quantum Generative Autoencoder. The autoencoder leverages a novel Hamiltonian based quantum Al generative model to resolve anomaly detection in financial transaction data. An hybrid architecture, i.e., potential of quantum computing and generative AI based approach is leveraged in this disclosure to capture complex patterns and correlations in high-dimensional financial data. This system employes a series of parameterized Hamiltonians at least for processes like encoding, latent space representation, and decoding, which are implemented as quantum circuits using Trotterization techniques. Particularly, the system incorporates physical-inspired principles into the area of financial …


Critical Technological Slots For Orbital Propulsion And Cryogenics: An Open Exploratory Framework, Xavier Pillet Sep 2025

Critical Technological Slots For Orbital Propulsion And Cryogenics: An Open Exploratory Framework, Xavier Pillet

Defensive Publications Series

This document, produced with the assistance of ChatGPT o3 and GPT-5 Thinking, is released under the Apache 2.0 license. It is a voluntary defensive publication (prior art) and therefore enters the prior art upon release under the applicable patent statutes: EPC Art. 54(2) (European Patent Convention), French IPC/CPI Art. L 611-11 (French Intellectual Property Code), 35 U.S.C. §102(a) (United States Patent Act), Chinese Patent Law Art. 22(5) (中华人民共和国专利法), and Japanese Patent Act Art. 29(1) (特許法). It discloses 84 enabling inventions for superconducting electrodynamic tethers (HTS/REBCO), inflatable magnetosails, thermo-MHD re-entry shields, and closed-loop cryogenic management (EFR), including SOPs, QA/bench protocols, control …


Development Of Multi-Sector Negentropic Engineering, Xavier Pillet Sep 2025

Development Of Multi-Sector Negentropic Engineering, Xavier Pillet

Defensive Publications Series

This document, produced with the assistance of ChatGPT o3 and GPT-5 Thinking, is released under the Apache 2.0 license. It is a voluntary defensive publication (prior art) and therefore enters the prior art upon release under the applicable patent statutes: EPC Art. 54(2) (European Patent Convention), French IPC/CPI Art. L 611-11 (French Intellectual Property Code), 35 U.S.C. §102(a) (United States Patent Act), Chinese Patent Law Art. 22(5) (中华人民共和国专利法), and Japanese Patent Act Art. 29(1) (特許法). The booklet consolidates 140 enabling proposals that reduce entropy and maximise negentropy across materials, devices, buildings, urban grids, medicine, logistics, and space systems. Each entry …


Impact Of Gut Microbiota On Drug Metabolism And Absorption, Kieran Burke, Yanyan Li Sep 2025

Impact Of Gut Microbiota On Drug Metabolism And Absorption, Kieran Burke, Yanyan Li

Pharmacy Faculty Scholarship

Purpose of Review: Complex interactions between gut microbiota and various drugs can significantly influence drug phar-macokinetics. We examined recent in vitro, ex vivo, and in vivo studies to understand how microbiota directly influences drug metabolism and absorption in order to inform future research and clinical practice. Recent Findings: Considerable progress has been made for multiple drug classes using in vitro anaerobic culturing assays and ex vivo systems with human fecal communities, as well as animal models that have provided insights into both direct microbial metabolism of drugs and indirect host-microbiota interactions via regulation of host enzymes or transporters. However, how …


"Elements Don’T Mix!": Unearthing Racial Scripts And A Rhetorical Economy Of Whiteness In Disney And Pixar's Elemental, Linsay M. Cramer, Gabriel A. Cruz Sep 2025

"Elements Don’T Mix!": Unearthing Racial Scripts And A Rhetorical Economy Of Whiteness In Disney And Pixar's Elemental, Linsay M. Cramer, Gabriel A. Cruz

Communication, Media, and Culture

Using a narrative rhetorical approach, we map how Disney and Pixar’s 2023 film, Elemental, sustains a rhetorical economy of whiteness, as theorized by Asen and Kelly, which emphasizes the degree to which rhetorical constructions of racial difference are foundational to whiteness and economic systems. We identify and critique how Elemental discursively contributes to a system of exclusivity for those within the bounds of whiteness concerning economic mobility via racial scripts. Created and produced during Joe Biden’s United States (U.S.) presidential term (2021–2025), Elemental offers a metaphorical tale that engages the fractious, politically conservative anxieties concerning diversity, equity, and inclusion (DEI) …


Efficient Parallel Processing Of Second-Generation Tdi Data For Galactic Binaries In Space-Based Gravitational Wave Missions, Xue-Hao Zhang, Soumya D. Mohanty, S. R. Valluri, Shao-Dong Zhao, Qun-Ying Xie, Yu-Xiao Liu Sep 2025

Efficient Parallel Processing Of Second-Generation Tdi Data For Galactic Binaries In Space-Based Gravitational Wave Missions, Xue-Hao Zhang, Soumya D. Mohanty, S. R. Valluri, Shao-Dong Zhao, Qun-Ying Xie, Yu-Xiao Liu

Physics & Astronomy Faculty Publications

Space-based gravitational wave missions such as LISA, Taiji, and Tianqin rely on the time-delay interferometry (TDI) technique to observe low-frequency signals such as Galactic binaries (GBs), massive black-hole binaries, and extreme-mass-ratio inspirals. Among these sources, resolving the large population of GBs poses a central challenge for data analysis. In this work, we present GBSIEVER-C, a pipeline implemented in C and parallelized using OpenMP (Open Multi-Processing), along with a range of additional algorithmic optimizations, including a fast implementation of second-generation TDI response modeling. It builds upon the previous MATLAB-based pipeline that demonstrated competitive performance on LISA Data Challenge (LDC) data. To …


Academic Village Finance Authority Board Of Directors Meeting - Open Session Book 09/12/2025, Uc Law Sf Sep 2025

Academic Village Finance Authority Board Of Directors Meeting - Open Session Book 09/12/2025, Uc Law Sf

2025 Board of Directors Agenda and Materials

No abstract provided.


Non-Neutralizing Antibodies To Influenza A Matrix-Protein-2-Ectodomain Are Broadly Effective Therapeutics And Resistant To Viral Escape Mutations., Teha Kim, Lynn Bimler, Sydney L Ronzulli, Amber Y Song, Scott K Johnson, Cheryl A Jones, S Mark Tompkins, Silke Paust Sep 2025

Non-Neutralizing Antibodies To Influenza A Matrix-Protein-2-Ectodomain Are Broadly Effective Therapeutics And Resistant To Viral Escape Mutations., Teha Kim, Lynn Bimler, Sydney L Ronzulli, Amber Y Song, Scott K Johnson, Cheryl A Jones, S Mark Tompkins, Silke Paust

Faculty Research 2025

Influenza A viruses remain a global health threat, yet no universal antibody therapy exists. Clinical programs have centered on neutralizing mAbs, only to be thwarted by strain specificity and rapid viral escape. We instead engineered three non-neutralizing IgG2a mAbs that target distinct, overlapping epitopes within the conserved N terminus of the M2 ectodomain (M2e). Combined at low dose, this "triple M2e-mAb" confers robust prophylactic and therapeutic protection in mice challenged with diverse human and zoonotic IAV strains, including highly pathogenic variants. Therapeutic efficacy depends on Fc-mediated effector activity via FcγRI, FcγRIII, and FcγRIV, rather than in vitro neutralization. Serial passaging …


Superhydrophobic Cerium-Based Metal–Organic Frameworks/Polymer Nanofibers For Water Treatment, Samar A. Salim, Hani Nasser Abdelhamid, Sep 2025

Superhydrophobic Cerium-Based Metal–Organic Frameworks/Polymer Nanofibers For Water Treatment, Samar A. Salim, Hani Nasser Abdelhamid,

Nanotechnology Research Centre

No abstract provided.


Academic Senate Retreat - Agenda, 09/12/2025, Academic Senate Sep 2025

Academic Senate Retreat - Agenda, 09/12/2025, Academic Senate

Academic Senate Agendas

No abstract provided.


Thermo-Driven Structural And Optical Variations For The Improved Bidirectional Photodetection Of Ag2o@ Cdte Thin Films, Ahmed M. Nawar, Ahmed Ramzy, Shehab E. Ali, A. A.M. Farag, Ahmed M. El-Mahalawy Sep 2025

Thermo-Driven Structural And Optical Variations For The Improved Bidirectional Photodetection Of Ag2o@ Cdte Thin Films, Ahmed M. Nawar, Ahmed Ramzy, Shehab E. Ali, A. A.M. Farag, Ahmed M. El-Mahalawy

Nanotechnology Research Centre

Bidirectional photodetection is an emerging functionality in advanced optoelectronic systems, characterized by the ability of a photodetector to respond to the incident light under both forward and reverse biasing voltage. For this aim, a layer of silver oxide (Ag2O) is deposited on CdTe thin films, and then, directly, the fabricated Ag2O@CdTe samples on quartz and n-Si substrates are thermally annealed (from 100 to 400◦C). In general, the surface topography is driven by the post-annealing process; besides that, the crystallinity of Ag2O@CdTe samples is improved at 200◦C. The optical characteristics of transmittance and reflectance spectrophotometric measurements at normal incidence revealed a …


Development And Validation Of An Ai-Based Lung Lobe Auto-Contouring Tool Using Radiation Therapy Planning Free-Breathing Images, Peter Ciaccio, Joseph Lombardo, Andrew Fuquay, Soroush Pahlavian, Rachel Grimm, Jun Kang, Wookjin Choi, Paul Sullivan, Yevgeniy Vinogradskiy Sep 2025

Development And Validation Of An Ai-Based Lung Lobe Auto-Contouring Tool Using Radiation Therapy Planning Free-Breathing Images, Peter Ciaccio, Joseph Lombardo, Andrew Fuquay, Soroush Pahlavian, Rachel Grimm, Jun Kang, Wookjin Choi, Paul Sullivan, Yevgeniy Vinogradskiy

Department of Radiation Oncology Faculty Papers

BACKGROUND: Pulmonary toxicity can occur during radiation therapy of the lungs. Dose metrics evaluated at the lobar level can improve the ability to predict toxicity. Contouring lung lobes is challenging and time consuming. Currently there are limited dosimetry studies evaluating the dose to lung lobes. The purpose of this work was to develop and validate an artificial intelligence (AI) lung lobe auto-contouring algorithm using radiation therapy planning images.

MATERIALS AND METHODS: Fifty lung cancer patients from two institutions were analyzed, and a clinician contoured all five lung lobes [left upper lobe (LUL), left lower lobe (LLL), right upper lobe (RUL), …


Ud In The News Sept. 6-12, University Of Dayton Sep 2025

Ud In The News Sept. 6-12, University Of Dayton

News Releases

Local media covered the University's remembrance of 9/11 and blessing of first responders. Faculty experts provided insight to Public News Service, WWL-AM in New Orleans, knewz, WYSO-FM, the Dayton Daily News and Dayton 24/7 Now.


Cover And Contents Sep 2025

Cover And Contents

Turkish Journal of Mathematics

No abstract provided.


Improved Berezin Radius Inequalities For Functional Hilbert Space Operators, Mojtaba Bakherad, Ulaş Yamanci, Mohammad W. Alomari Sep 2025

Improved Berezin Radius Inequalities For Functional Hilbert Space Operators, Mojtaba Bakherad, Ulaş Yamanci, Mohammad W. Alomari

Turkish Journal of Mathematics

The Berezin number of an operator S is defined by ber(S) = supλ∈Θ |Ŝ(λ)| = supλ∈Θ |⟨Sĸ̂λ, ĸ̂λ⟩|, where Ŝ(λ) = ⟨Sĸ̂λ, ĸ̂λ⟩ (λ ∈ Θ) is the Berezin transform of an operator S on the functional Hilbert space ℋ = ℋ(Θ) and ĸ̂λ = ĸλ / ‖ĸλ‖ is the normalized reproducing kernel of ℋ. In this paper, we show an improvement of the classical Cauchy–Schwarz inequality involving the Berezin number. Moreover, some Berezin numbers inequalities are proven for invertible operators.


Nonoscillatory Solutions Of Third-Order Nonlinear Dynamic Equations: Existence And Nonexistence, Özkan Öztürk, Elvan Akin, Nesli̇han Nesli̇ye Pelen Sep 2025

Nonoscillatory Solutions Of Third-Order Nonlinear Dynamic Equations: Existence And Nonexistence, Özkan Öztürk, Elvan Akin, Nesli̇han Nesli̇ye Pelen

Turkish Journal of Mathematics

This paper investigates a third-order nonlinear dynamic equation on arbitrary time scales, a nonempty closed subset of the real numbers, unifying continuous and discrete analyses. We study the qualitative behavior of nonoscillatory solutions and their quasi-derivatives, focusing on their limiting behaviors. The existence of such solutions are established using improper integral criteria and Schauder’s and Knaster’s fixed point theorems. In addition, we establish the criteria for the nonexistence of nonoscillatory solutions. Furthermore, we prove the existence of Kneser-type solutions of the corresponding linear dynamic equation on isolated time scales, addressing an open problem in the literature. Several examples of theoretical …


Structural Stability For Damped Nonlinear Wave Equations, Sevda Isayeva, Varga Kalantarov Sep 2025

Structural Stability For Damped Nonlinear Wave Equations, Sevda Isayeva, Varga Kalantarov

Turkish Journal of Mathematics

We study the problem of continuous dependence on parameters for solutions to initial-boundary value problems for nonlinear strongly damped wave equations. Specifically, we consider three classes of equations: a strongly damped wave equation with a nonlinear damping term; a strongly damped wave equation incorporating both a nonlinear damping term and a nonlinear source term; and a strongly damped wave equation with a nonlinear source term and a linear weak damping term. For each class, we establish structural stability results, showing that the solutions depend continuously on the relevant parameters.