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Articles 31 - 60 of 79
Full-Text Articles in Analysis
Complex Neutrosophic Soft Set, Florentin Smarandache, Said Broumi, Assia Bakali, Mohamed Talea, Mumtaz Ali, Ganeshsree Selvachandran
Complex Neutrosophic Soft Set, Florentin Smarandache, Said Broumi, Assia Bakali, Mohamed Talea, Mumtaz Ali, Ganeshsree Selvachandran
Branch Mathematics and Statistics Faculty and Staff Publications
In this paper, we propose the complex neutrosophic soft set model, which is a hybrid of complex fuzzy sets, neutrosophic sets and soft sets. The basic set theoretic operations and some concepts related to the structure of this model are introduced, and illustrated. An example related to a decision making problem involving uncertain and subjective information is presented, to demonstrate the utility of this model.
An Optimal Execution Problem With S-Shaped Market Impact Functions, Takashi Kato
An Optimal Execution Problem With S-Shaped Market Impact Functions, Takashi Kato
Communications on Stochastic Analysis
No abstract provided.
Solving Liouville-Type Problems On Manifolds With Poincar´E-Sobolev Inequality By Broadening Q-Energy From Finite To Infinite, Lina Wu
Publications and Research
The aim of this article is to investigate Liouville-type problems on complete non-compact Riemannian manifolds with Poincar´e-Sobolev Inequality. Two significant technical breakthroughs are demonstrated in research findings. The first breakthrough is an extension from non-flat manifolds with non-negative Ricci curvatures to curved manifolds with Ricci curvatures varying among negative values, zero, and positive values. Poincar´e-Sobolev Inequality has been applied to overcome difficulties of an extension on manifolds. Poincar´e-Sobolev Inequality has offered a special structure on curved manifolds with a mix of Ricci curvature signs. The second breakthrough is a generalization of q-energy from finite to infinite. At this point, a …
Weak Factorizations Of The Hardy Space H1(RN) In Terms Of Multilinear Riesz Transforms, Ji Li, Brett D. Wick
Weak Factorizations Of The Hardy Space H1(RN) In Terms Of Multilinear Riesz Transforms, Ji Li, Brett D. Wick
Mathematics Faculty Research
This paper provides a constructive proof of the weak factorization of the classical Hardy space in terms of multilinear Riesz transforms. As a direct application, we obtain a new proof of the characterization of (the dual of ) via commutators of the multilinear Riesz transforms.
Mixed Strategies For Deterministic Differential Games, Wendell H. Fleming, Daniel Hernandez-Hernandez
Mixed Strategies For Deterministic Differential Games, Wendell H. Fleming, Daniel Hernandez-Hernandez
Communications on Stochastic Analysis
No abstract provided.
Spatial Ergodicity Of The Harris Flows, E.V. Glinyanaya
Spatial Ergodicity Of The Harris Flows, E.V. Glinyanaya
Communications on Stochastic Analysis
No abstract provided.
A Note On Evolution Systems Of Measures Of Stochastic Differential Equations In Infinite Dimensional Hilbert Spaces, Thanh Tan Mai
A Note On Evolution Systems Of Measures Of Stochastic Differential Equations In Infinite Dimensional Hilbert Spaces, Thanh Tan Mai
Communications on Stochastic Analysis
No abstract provided.
Stationary Solutions Of Stochastic Partial Differential Equations In The Space Of Tempered Distributions, Suprio Bhar
Stationary Solutions Of Stochastic Partial Differential Equations In The Space Of Tempered Distributions, Suprio Bhar
Communications on Stochastic Analysis
No abstract provided.
Fractal Behavior Of Multivariate Operator-Self-Similar Stable Random Fields, Ercan Sönmez
Fractal Behavior Of Multivariate Operator-Self-Similar Stable Random Fields, Ercan Sönmez
Communications on Stochastic Analysis
No abstract provided.
Poisson Approximation Of Rademacher Functionals By The Chen-Stein Method And Malliavin Calculus, Kai Kronkowski
Poisson Approximation Of Rademacher Functionals By The Chen-Stein Method And Malliavin Calculus, Kai Kronkowski
Communications on Stochastic Analysis
No abstract provided.
Statistical Analysis Of The Non-Ergodic Fractional Ornstein–Uhlenbeck Process Of The Second Kind, Brahim El Onsy, Khalifa Es-Sebaiy, Ciprian A. Tudor
Statistical Analysis Of The Non-Ergodic Fractional Ornstein–Uhlenbeck Process Of The Second Kind, Brahim El Onsy, Khalifa Es-Sebaiy, Ciprian A. Tudor
Communications on Stochastic Analysis
No abstract provided.
On Infinite Stochastic And Related Matrices, Andreas Boukas, Philip Feinsilver, Anargyros Fellouris
On Infinite Stochastic And Related Matrices, Andreas Boukas, Philip Feinsilver, Anargyros Fellouris
Communications on Stochastic Analysis
No abstract provided.
Spaces Of Dirichlet Series With The Complete Pick Property, John E. Mccarthy, Orr Moshe Shalit
Spaces Of Dirichlet Series With The Complete Pick Property, John E. Mccarthy, Orr Moshe Shalit
Mathematics Faculty Research
We consider reproducing kernel Hilbert spaces of Dirichlet series with kernels of the form k(s,u)=∑ann−s−u¯, and characterize when such a space is a complete Pick space. We then discuss what it means for two reproducing kernel Hilbert spaces to be “the same”, and introduce a notion of weak isomorphism. Many of the spaces we consider turn out to be weakly isomorphic as reproducing kernel Hilbert spaces to the Drury–Arveson space Hd2 in d variables, where d can be any number in {1, 2,...,∞}, and in particular their multiplier algebras are unitarily equivalent to the multiplier algebra of Hd2. Thus, a …
Thermal Stress Analysis In A Functionally Graded Hollow Elliptic-Cylinder Subjected To Uniform Temperature Distribution, V. R. Manthena, N. K. Lamba, G. D. Kedar
Thermal Stress Analysis In A Functionally Graded Hollow Elliptic-Cylinder Subjected To Uniform Temperature Distribution, V. R. Manthena, N. K. Lamba, G. D. Kedar
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, an analytical method of a thermoelastic problem for a medium with functionally graded material properties is developed in a theoretical manner for the elliptic-cylindrical coordinate system under the assumption that the material properties except for Poisson’s ratio and density are assumed to vary arbitrarily with the exponential law in the radial direction. An attempt has been made to reconsider the fundamental system of equations for functionally graded solids in a two-dimensional state under thermal and mechanical loads. The general solution of displacement formulation is obtained by the introduction of appropriate transformation and carried out the analysis by …
Numerical Solution Of Fractional Elliptic Pde's By The Collocation Method, Fuat Usta
Numerical Solution Of Fractional Elliptic Pde's By The Collocation Method, Fuat Usta
Applications and Applied Mathematics: An International Journal (AAM)
In this presentation a numerical solution for the solution of fractional order of elliptic partial differential equation in R2 is proposed. In this method we use the Radial basis functions (RBFs) method to benefit the desired properties of mesh free techniques such as no need to generate any mesh and easily applied to multi dimensions. In the numerical solution approach the RBF collocation method is used to discrete fractional derivative terms with the Gaussian basis function. Two dimensional numerical examples are presented and discussed, which conform well with the corresponding exact solutions.
A Novel Approach For Solving Volterra Integral Equations Involving Local Fractional Operator, Hassan K. Jassim
A Novel Approach For Solving Volterra Integral Equations Involving Local Fractional Operator, Hassan K. Jassim
Applications and Applied Mathematics: An International Journal (AAM)
The paper presents an approximation method called local fractional variational iteration method (LFVIM) for solving the linear and nonlinear Volterra integral equations of the second kind with local fractional derivative operators. Some illustrative examples are discussed to demonstrate the efficiency and the accuracy of the proposed method. Furthermore, this method does not require spatial discretization or restrictive assumptions and therefore reduces the numerical computation significantly. The results reveal that the local fractional variational iteration method is very effective and convenient to solve linear and nonlinear integral equations within local fractional derivative operators.
Application Of Kudryashov Method For The Ito Equations, Mozhgan Akbari
Application Of Kudryashov Method For The Ito Equations, Mozhgan Akbari
Applications and Applied Mathematics: An International Journal (AAM)
In this present work, the Kudryashov method is used to construct exact solutions of the (1+1)- dimensional and the (1+2)-dimensional form of the generalized Ito integro-differential equation. The Kudryashov method is a powerful method for obtaining exact solutions of nonlinear evolution equations. This method can be applied to non-integrable equations as well as integrable ones.
Observations On Convexity, Chad A. Huckaby
Observations On Convexity, Chad A. Huckaby
Electronic Theses and Dissertations
This thesis will explore convexity as it pertains to sets of complex-valued functions. These include preliminary looks at established linear and polynomially convex hulls, along with the development of new types of convex hulls. These types will include, but are not limited to the hulls determined by inversions, shift inversions, and Mobius transformations. A convex hull must be preceded by the set of functions involved. These hulls are the smallest convex sets that contain the original set. Justifications and precise definitions are included within the body of the work.
Shortest Path Problem On Single Valued Neutrosophic Graphs, Florentin Smarandache, Said Broumi, Mohamed Talea, Assia Bakali, Kishore Kumar
Shortest Path Problem On Single Valued Neutrosophic Graphs, Florentin Smarandache, Said Broumi, Mohamed Talea, Assia Bakali, Kishore Kumar
Branch Mathematics and Statistics Faculty and Staff Publications
A single valued neutrosophic graph is a generalized structure of fuzzy graph, intuitionistic fuzzy graph that gives more precision, flexibility and compatibility to a system when compared with systems that are designed using fuzzy graphs and intuitionistic fuzzy graphs. This paper addresses for the first time, the shortest path in an acyclic neutrosophic directed graph using ranking function. Here each edge length is assigned to single valued neutrosophic numbers instead of a real number. The neutrosophic number is able to represent the indeterminacy in the edge (arc) costs of neutrosophic graph. A proposed algorithm gives the shortest path and shortest …
Kadison's Pythagorean Theorem And Essential Codimension, Jireh Loreaux, Victor Kaftal
Kadison's Pythagorean Theorem And Essential Codimension, Jireh Loreaux, Victor Kaftal
SIUE Faculty Research, Scholarship, and Creative Activity
Kadison’s Pythagorean theorem (Proc Natl Acad Sci USA, 99(7):4178–4184, 2002; Proc Natl Acad Sci USA 99(8):5217–5222, 2002) provides a characterization of the diagonals of projections with a subtle integrality condition. Arveson (Proc Natl Acad Sci USA 104(4):1152–1158, 2007), Kaftal, Ng, Zhang (J Funct Anal 257(8):2497–2529, 2009), and Argerami (Integral Equ Oper Theory 82(1):33–49, 2015) all provide different proofs of that integrality condition. In this paper we interpret the integrality condition in terms of the essential codimension of a pair of projections introduced by Brown et al. (Proceedings of a conference on operator theory, Lecture notes …
Nash Twist And Gaussian Noise Measure For Isometric C1 Maps, Amites Dasgupta, Mahuya Datta
Nash Twist And Gaussian Noise Measure For Isometric C1 Maps, Amites Dasgupta, Mahuya Datta
Communications on Stochastic Analysis
No abstract provided.
On Constructing Some Membranes For A Symmetric Α-Stable Process, M. M. Osypchuk, M.I. Portenko
On Constructing Some Membranes For A Symmetric Α-Stable Process, M. M. Osypchuk, M.I. Portenko
Communications on Stochastic Analysis
No abstract provided.
On Martingale Representation And Logarithmic-Sobolev Inequality For Fractional Brownian Bridge Measures, Xiaoxia Sun, Feng Guo
On Martingale Representation And Logarithmic-Sobolev Inequality For Fractional Brownian Bridge Measures, Xiaoxia Sun, Feng Guo
Communications on Stochastic Analysis
No abstract provided.
Existence And Stability For Stochastic Impulsive Neutral Partial Differential Equations Driven By Rosenblatt Process With Delay And Poisson Jumps, Mouhamed Ait Ouahra, Brahim Boufoussi, El Hassan Lakhel
Existence And Stability For Stochastic Impulsive Neutral Partial Differential Equations Driven By Rosenblatt Process With Delay And Poisson Jumps, Mouhamed Ait Ouahra, Brahim Boufoussi, El Hassan Lakhel
Communications on Stochastic Analysis
No abstract provided.
A Clark-Ocone Type Formula Under Change Of Measure For Multidimensional Lévy Processes, Ryoichi Suzuki
A Clark-Ocone Type Formula Under Change Of Measure For Multidimensional Lévy Processes, Ryoichi Suzuki
Communications on Stochastic Analysis
No abstract provided.
Optimal Approximation Of Skorohod Integrals – Examples With Substandard Rates, Peter Parczewski
Optimal Approximation Of Skorohod Integrals – Examples With Substandard Rates, Peter Parczewski
Communications on Stochastic Analysis
No abstract provided.
Anticipative Integrals With Respect To A Filtered Lévy Process And Lévy–Itô Decomposition, Nicolas Savy, Josep Vives
Anticipative Integrals With Respect To A Filtered Lévy Process And Lévy–Itô Decomposition, Nicolas Savy, Josep Vives
Communications on Stochastic Analysis
No abstract provided.
Equivalence Between A Harmonic Form And A Closed Co-Closed Form In Both Lq And Non-Lq Spaces, Lina Wu
Equivalence Between A Harmonic Form And A Closed Co-Closed Form In Both Lq And Non-Lq Spaces, Lina Wu
Publications and Research
For a differential k-form ω on a complete non-compact manifold, we establish an equivalent relation between a harmonic form and a closed co-closed form. We extend this equivalence from ω in L^2 spaces to ω with 2-balanced growth including L^2 spaces and non-L^2 spaces. Especially for a simple differential k-form ¯ω on a complete non-compact manifold, we generalize this equivalence from ¯ω in L^q spaces to ¯ω with 2-balanced growth including L^q spaces and non-L^q spaces for 2 ≤ q < 3. Our research findings recapture the work of Andreotti and Vesentini. Our ideas and calculation methods in this paper could provide a new way of broadening L^q spaces to non-L^q spaces in a variety of energy for differential forms.
From Pythagoreans And Weierstrassians To True Infinitesimal Calculus, Mikhail Katz, Luie Polev
From Pythagoreans And Weierstrassians To True Infinitesimal Calculus, Mikhail Katz, Luie Polev
Journal of Humanistic Mathematics
In teaching infinitesimal calculus we sought to present basic concepts like continuity and convergence by comparing and contrasting various definitions, rather than presenting “the definition” to the students as a monolithic absolute. We hope that our experiences could be useful to other instructors wishing to follow this method of instruction. A poll run at the conclusion of the course indicates that students tend to favor infinitesimal definitions over epsilon-delta ones.
Discovering Liouville-Type Problems For P-Energy Minimizing Maps In Closed Half-Ellipsoids By Calculus Variation Method, Lina Wu
Publications and Research
The goal of this project is to investigate constant properties (called the Liouville-type Problem) for a p-stable map as a local or global minimum of a p-energy functional where the domain is a Euclidean space and the target space is a closed half-ellipsoid. The First and Second Variation Formulas for a p-energy functional has been applied in the Calculus Variation Method as computation techniques. Stokes’ Theorem, Cauchy-Schwarz Inequality, Hardy-Sobolev type Inequalities, and the Bochner Formula as estimation techniques have been used to estimate the lower bound and the upper bound of the derived p-Harmonic Stability Inequality. One challenging point in …