The Large Contraction Principle And Existence Of Periodic Solutions For Infinite Delay Volterra Difference Equations,
2019
University of Dayton
The Large Contraction Principle And Existence Of Periodic Solutions For Infinite Delay Volterra Difference Equations, Paul W. Eloe, Jaganmohan Jonnalagadda, Youssef Raffoul
Mathematics Faculty Publications
In this article, we establish sufficient conditions for the existence of periodic solutions of a nonlinear infinite delay Volterra difference equation. (See paper for equation.)
We employ a Krasnosel’skii type fixed point theorem, originally proved by Burton. The primary sufficient condition is not verifiable in terms of the parameters of the difference equation, and so we provide three applications in which the primary sufficient condition is verified.
Avery Fixed Point Theorem Applied To A Hammerstein Integral Equation,
2019
University of Dayton
Avery Fixed Point Theorem Applied To A Hammerstein Integral Equation, Paul W. Eloe, Jeffrey T. Neugebauer
Mathematics Faculty Publications
Abstract. We apply a recent Avery et al. fixed point theorem to the Hammerstein integral equation (see paper for equation). Under certain conditions on G, we show the existence of positive and positive symmetric solutions. Examples are given where G is a convolution kernel and where G is a Green’s function associated with different boundary-value problem.
An Uncommon Textbook: Review Of Common Sense Mathematics By Ethan Bolker And Maura Mast,
2019
University of Arkansas
An Uncommon Textbook: Review Of Common Sense Mathematics By Ethan Bolker And Maura Mast, Bernard Madison
Numeracy
Ethan D. Bolker and Maura B. Mast. 2016. Common Sense Mathematics.(Washington DC.: Mathematics Association of America) ISBN-13: 978-1-93951-210-9.
Common Sense Mathematics is an integrative quantitative reasoning (QR) textbook that is built around scores of exercises derived from authentic circumstances from public media and other public sources. The exercises elicit responses from students requiring extensive communication and analyses and distinguish the book from ones typically encountered in a mathematics or science course. Responses to exercises often require one-half page or more of writing and can occupy considerable class time in discussion. The book has material for a one- or two-semester …
Eigenvalues And Approximation Numbers,
2019
Claremont Colleges
Eigenvalues And Approximation Numbers, Ryan Chakmak
CMC Senior Theses
While the spectral theory of compact operators is known to many, knowledge regarding the relationship between eigenvalues and approximation numbers might be less known. By examining these numbers in tandem, one may develop a link between eigenvalues and l^p spaces. In this paper, we develop the background of this connection with in-depth examples.
A Few Calculations Of Receding Moon From Spherical Kinetic Dynamics, Receding Planetary Orbits, And The Quantization Of Celestial Motions,
2019
University of New Mexico
A Few Calculations Of Receding Moon From Spherical Kinetic Dynamics, Receding Planetary Orbits, And The Quantization Of Celestial Motions, Florentin Smarandache, Victor Christianto, Robert Neil Boyd
Branch Mathematics and Statistics Faculty and Staff Publications
The present article discusses some interesting phenomena including the Lense-Thirring type anomalous precession, using a known spherical kinetic dynamics approach. Other implications include a plausible revised version of the celestial quantization equation described by Nottale and Rubcic & Rubcic. If the proposition described herein corresponds to the facts, then this kinetic dynamics interpretation of ‘frame-dragging’ effect could be viewed as a step to unification between GTR-type phenomena and QM. Further observation to verify or refute this conjecture is recommended, plausibly using LAGEOS type satellites.
Composition Of Gaussian Noises From Successive Convex Integrations,
2019
Indian Statistical Institute
Composition Of Gaussian Noises From Successive Convex Integrations, Amites Dasgupta
Communications on Stochastic Analysis
No abstract provided.
Limiting Means For Spherical Slices,
2019
University of Connecticut, Storrs, CT USA
Limiting Means For Spherical Slices, Amy Peterson, Ambar Sengupta
Communications on Stochastic Analysis
No abstract provided.
Generalized Stochastic Burgers' Equation With Non-Lipschitz Diffusion Coefficient,
2019
Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India
Generalized Stochastic Burgers' Equation With Non-Lipschitz Diffusion Coefficient, Vivek Kumar, Ankik Kumar Giri
Communications on Stochastic Analysis
No abstract provided.
Surface Waves Over Currents And Uneven Bottom,
2019
Technological University Dublin
Surface Waves Over Currents And Uneven Bottom, Alan Compelli, Rossen Ivanov, Calin I. Martin, Michail D. Todorov
Articles
The propagation of surface water waves interacting with a current and an uneven bottom is studied. Such a situation is typical for ocean waves where the winds generate currents in the top layer of the ocean. The role of the bottom topography is taken into account since it also influences the local wave and current patterns. Specific scaling of the variables is selected which leads to approximations of Boussinesq and KdV types. The arising KdV equation with variable coefficients, dependent on the bottom topography, is studied numerically when the initial condition is in the form of the one soliton solution …
Riemann-Hilbert Problem, Integrability And Reductions,
2019
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences
Riemann-Hilbert Problem, Integrability And Reductions, Vladimir Gerdjikov, Rossen Ivanov, Aleksander Stefanov
Articles
Abstract. The present paper is dedicated to integrable models with Mikhailov reduction groups GR ≃ Dh. Their Lax representation allows us to prove, that their solution is equivalent to solving Riemann-Hilbert problems, whose contours depend on the realization of the GR-action on the spectral parameter. Two new examples of Nonlinear Evolution Equations (NLEE) with Dh symmetries are presented.
Does It Take Three To Dance The Tango? Organizational Design, Triadic Structures And Boundary Spanning Across Subunits,
2019
Erasmus University of Rotterdam
Does It Take Three To Dance The Tango? Organizational Design, Triadic Structures And Boundary Spanning Across Subunits, Stefano Tasselli, Alberto Caimo
Articles
In this paper, we investigate the processes of boundary spanning across subunits within organizational networks. We hypothesize that patterns of advice across organizational subunits are explained by different triadic mechanisms depending on the organizational design of the intra-organizational network. In organizational networks characterized by flat hierarchy, we found triadic cyclic closure to be positively associated to boundary spanning across subunits; but when the network reflects an organizational structure with formal hierarchical differentiation among members, then we found triadic transitive closure to be associated to boundary spanning across subunits. We test these predictions in two empirical studies consisting of two organizational …
On The Cosmological Models With Matter Creation,
2019
Technological University Dublin
On The Cosmological Models With Matter Creation, Emil M. Prodanov, Rossen Ivanov
Articles
The matter creation model of Prigogine--Géhéniau--Gunzig--Nardone is revisited in terms of a redefined creation pressure which does not lead to irreversible adiabatic evolution at constant specific entropy. With the resulting freedom to choose a particular gas process, a flat FRWL cosmological model is proposed based on three input characteristics: (i) a perfect fluid comprising of an ideal gas, (ii) a quasi-adiabatic polytropic process, and (iii) a particular rate of particle creation. Such model leads to the description of the late-time acceleration of the expanding Universe with a natural transition from decelerating to accelerating regime. Only the Friedmann equations and the …
On The Time-Evolution Of Resonant Triads In Rotational Capillary-Gravity Water Waves,
2019
Technological University Dublin
On The Time-Evolution Of Resonant Triads In Rotational Capillary-Gravity Water Waves, Rossen Ivanov, Calin I. Martin
Articles
We investigate an effect of the resonant interaction in the case of one-directional propagation of capillary-gravity surface waves arising as the free surface of a rotational water flow. Specifically, we assume a constant vorticity in the body of the fluid which physically corresponds to an underlying current with a linear horizontal velocity profile. We consider the interaction of three distinct modes and we obtain the dynamic equations for a resonant triad. Setting the constant vorticity equal to zero we recover the well known integrable three-wave system.
Benjamin-Ono Model Of An Internal Wave Under A Flat Surface,
2019
University College Cork
Benjamin-Ono Model Of An Internal Wave Under A Flat Surface, Alan Compelli, Rossen Ivanov
Articles
A two-layer uid system separated by a pycnocline in the form of an internal wave is considered. The lower layer is infinitely deep, with a higher density than the upper layer which is bounded above by a at surface. The uids are incompressible and inviscid. A Hamiltonian formulation for the dynamics in the presence of a depth-varying current is presented and it is shown that an appropriate scaling leads to the integrable Benjamin-Ono equation.
On The Generalized Log Burr Iii Distribution: Development, Properties, Characterizations And Applications,
2019
National College of Business Administration and Economics
On The Generalized Log Burr Iii Distribution: Development, Properties, Characterizations And Applications, Fiaz Ahmad Bhatti, Gholamhossein Hamedani, Azeem Ali, Munir Ahmad
Mathematical and Statistical Science Faculty Research and Publications
In this paper, we present a generalized log Burr III (GLBIII) distribution developed on the basis of a generalized log Pearson differential equation (GLPE). The density function of the GLBIII is exponential, arc, J, reverse-J, bimodal, left-skewed, right- skewed and symmetrical shaped. The hazard rate function of GLBIII distribution has various shapes such as constant, increasing, decreasing, increasing-decreasing, upside- down bathtub and modified bathtub. Descriptive measures such as quantile function, sub- models, ordinary moments, moments of order statistics, incomplete moments, reliability and uncertainty measures are theoretically established. The GLBIII distribution is characterized via different techniques. Parameters of the GLBIII distribution …
Charged Nanoparticles Quench The Propulsion Of Active Janus Colloids,
2019
Cleveland State University
Charged Nanoparticles Quench The Propulsion Of Active Janus Colloids, Marola W. Issa, Nicky R. Baumgartner, Mohammed A. Kalil, Shawn D. Ryan, Christopher L. Wirth
Mathematics and Statistics Faculty Publications
Active colloidal particles regularly interact with surfaces in applications ranging from microfluidics to sensing. Recent work has revealed the complex nature of these surface interactions for active particles. Herein, we summarize experiments and simulations that show the impact of charged nanoparticles on the propulsion of an active colloid near a boundary. Adding charged nanoparticles not only decreased the average separation distance of a passive colloid because of depletion attraction as expected but also decreased the apparent propulsion of a Janus colloid to near zero. Complementary agentbased simulations considering the impact of hydrodynamics for active Janus colloids were conducted in the …
Ε-Superposition And Truncation Dimensions In Average And Probabilistic Settings For ∞-Variate Linear Problems,
2019
University of Kentucky
Ε-Superposition And Truncation Dimensions In Average And Probabilistic Settings For ∞-Variate Linear Problems, Jonathan M. Dingess
Theses and Dissertations--Computer Science
This thesis is a representation of my contribution to the paper of the same name I co-author with Dr. Wasilkowski. It deals with linear problems defined on γ-weighted normed spaces of functions with infinitely many variables. In particular, I describe methods and discuss results for ε-truncation and ε-superposition methods. I show through these results that the ε-truncation and ε-superposition dimensions are small under modest error demand ε. These positive results are derived for product weights and the so-called anchored decomposition.
Equivalence Between Uniform L²⋆(Ω) A-Priori Bounds And Uniform L∞(Ω) A-Priori Bounds For Subcritical Elliptic Equations,
2019
Swarthmore College
Equivalence Between Uniform L²⋆(Ω) A-Priori Bounds And Uniform L∞(Ω) A-Priori Bounds For Subcritical Elliptic Equations, A. Castro, Nsoki Mavinga, R. Pardo
Mathematics & Statistics Faculty Works
We provide sufficient conditions for a uniform L²⋆(Ω) bound to imply a uniform L∞(Ω) bound for positive classical solutions to a class of subcritical elliptic problems in bounded C² domains in Rᴺ. We also establish an equivalent result for sequences of boundary value problems.
Schur's Lemma For Coupled Reducibility And Coupled Normality,
2019
Swarthmore College
Schur's Lemma For Coupled Reducibility And Coupled Normality, D. Lahat, C. Jutten, Helene Shapiro
Mathematics & Statistics Faculty Works
Let $\mathcal A = \{A_{ij} \}_{i, j \in \mathcal I}$, where $\mathcal I$ is an index set, be a doubly indexed family of matrices, where $A_{ij}$ is $n_i \times n_j$. For each $i \in \mathcal I$, let $\mathcal V_i$ be an $n_i$-dimensional vector space. We say $\mathcal A$ is reducible in the coupled sense if there exist subspaces, $\mathcal U_i \subseteq \mathcal V_i$, with $\mathcal U_i \neq \{0\}$ for at least one $i \in \mathcal I$, and $\mathcal U_i \neq \mathcal V_i$ for at least one $i$, such that $A_{ij} (\mathcal U_j) \subseteq \mathcal U_i$ for all $i, j$. Let …
Revisiting The Isoperimetric Graph Partitioning Problem,
2019
Indian Statistical Institute Bangalore
Revisiting The Isoperimetric Graph Partitioning Problem, Sravan Danda, Aditya Challa, B. S. Daya Sagar, Laurent Najman
Journal Articles
Isoperimetric graph partitioning, which is also known as the Cheeger cut, is NP-hard in its original form. In the literature, multiple modifications to this problem have been proposed to obtain approximation algorithms for clustering applications. In the context of image segmentation, a heuristic continuous relaxation to this problem introduced by Leo Grady and Eric L. Schwartz has yielded good quality results. This algorithm is based on solving a linear system of equations involving the Laplacian of the image graph. Furthermore, the same algorithm applied to a maximum spanning tree (MST) of the image graph was shown to produce similar results …
