Stochastic Nonlinear Thermoelastic System Coupled Sine-Gordon Equation Driven by Jump Noise by Shuilin Cheng, Yantao Guo, Yanbin Tang

“…We first prove the existence and uniqueness of strong probabilistic solution of an initial-boundary value problem with homogeneous Dirichlet boundary conditions. …”
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A Two-Species Cooperative Lotka-Volterra System of Degenerate Parabolic Equations by Jiebao Sun, Dazhi Zhang, Boying Wu

“…We establish the existence of global generalized solutions of the initial boundary value problem by means of parabolic regularization and also consider the existence of the nontrivial time-periodic solution for this system.…”
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Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments by Juan J. Nieto, Rosana Rodríguez-López

“…We provide optimal conditions for the existence and uniqueness of solutions to a nonlocal boundary value problem for a class of linear homogeneous second-order functional differential equations with piecewise constant arguments. …”
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Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP with -Laplacian by Dan Li, Libo Wang, Minghe Pei

“…We study the existence and monotone iteration of solutions for a third-order four-point boundary value problem with -Laplacian. An existence result of positive, concave, and pseudosymmetric solutions and its monotone iterative scheme are established by using the monotone iterative technique. …”
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Conservative Linear Difference Scheme for Rosenau-KdV Equation by Jinsong Hu, Youcai Xu, Bing Hu

“…A conservative three-level linear finite difference scheme for the numerical solution of the initial-boundary value problem of Rosenau-KdV equation is proposed. …”
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The Stability of the Solutions for a Porous Medium Equation with a Convection Term by Huashui Zhan, Miao Ouyang

“…This paper studies the initial-boundary value problem of a porous medium equation with a convection term. …”
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Global Existence and Uniform Energy Decay Rates for the Semilinear Parabolic Equation with a Memory Term and Mixed Boundary Condition by Zhong Bo Fang, Liru Qiu

“…This work is concerned with a mixed boundary value problem for the semilinear parabolic equation with a memory term and generalized Lewis functions which depends on both spacial variable and time. …”
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Analytical Solution to 1D Compressible Navier-Stokes Equations by Changsheng Dou, Zishu Zhao

“…We find an interesting phenomenon on the solution to 1D compressible isentropic Navier-Stokes equations with constant viscosity coefficient on x,t∈0,+∞×R+, that is, the solutions to the initial boundary value problem to 1D compressible Navier-Stokes equations in half space can be transformed to the solution to the Riccati differential equation under some suitable conditions.…”
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Regularity and Exponential Growth of Pullback Attractors for Semilinear Parabolic Equations Involving the Grushin Operator by Nguyen Dinh Binh

“…Considered here is the first initial boundary value problem for a semilinear degenerate parabolic equation involving the Grushin operator in a bounded domain Ω. …”
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Boundary Layer Effects for the Nonlinear Evolution Equations with the Vanishing Diffusion Limit by Linrui Li, Shu Wang

“…We study an initial-boundary value problem for a nonlinear evolution system with damping and diffusion; our main purpose is to investigate the boundary layer effects when the vanishing diffusion limit α→0+, especially for the mixed boundary conditions; we prove that the thickness of layer is of the order O(α). …”
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Existence Theory for Pseudo-Symmetric Solution to 𝑝-Laplacian Differential Equations Involving Derivative by You-Hui Su, Weili Wu, Xingjie Yan

“…We all-sidedly consider a three-point boundary value problem for 𝑝-Laplacian differential equation with nonlinear term involving derivative. …”
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On the Existence of Three Positive Solutions for a Caputo Fractional Difference Equation by Lili Kong, Huiqin Chen, Luping Li, Shugui Kang

“…In this paper, we introduce the application of three fixed point theorem by discussing the existence of three positive solutions for a class of Caputo fractional difference equation boundary value problem. We establish the condition of the existence of three positive solutions for this problem.…”
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Positive Solutions to n-Order Fractional Differential Equation with Parameter by Jing-jing Tan, Cong Tan, Xueling Zhou

“…By employing the properties of the sum operators, we investigate the solutions of the n-order fractional differential equations multiple point boundary value problem (in short BVP) with the boundary conditions contains a parameter. …”
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A Cantilever Beam Problem with Small Deflections and Perturbed Boundary Data by Ammar Khanfer, Lazhar Bougoffa

“…The boundary value problem of a fourth-order beam equation u4=λfx,u,u′,u″,u′′′,0≤x≤1 is investigated. …”
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A Study of Nonlinear Fractional q-Difference Equations with Nonlocal Integral Boundary Conditions by Ahmed Alsaedi, Bashir Ahmad, Hana Al-Hutami

“…This paper is concerned with the existence and uniqueness of solutions for a boundary value problem of nonlinear fractional q-difference equations with nonlocal integral boundary conditions. …”
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NUMERICAL SIMULATION OF MAGNETIC FIELD STRUCTURE IN CYLINDRICAL FILM SCREEN by G. F. Gromyko, V. T. Erofeenko, G. M. Zayats

“…A numerical method for solving the boundary value problem for a nonlinear magnetostatic equation describing the external magnetostatic field penetration through the cylindrical film coating is developed. …”
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A Variational Approach to Perturbed Discrete Anisotropic Equations by Amjad Salari, Giuseppe Caristi, David Barilla, Alfio Puglisi

“…We investigate the existence of infinitely many solutions for a perturbed discrete anisotropic boundary value problem. The approach is based on variational methods and critical point theory.…”
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On Positive Radial Solutions for a Class of Elliptic Equations by Ying Wu, Guodong Han

“…A class of elliptic boundary value problem in an exterior domain is considered under some conditions concerning the first eigenvalue of the relevant linear operator, where the variables of nonlinear term fs,u need not to be separated. …”
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Viscous Hydrodynamic Model for Relativistic Heavy Ion Collisions by A. K. Chaudhuri

“…Hydrodynamical modeling being a boundary value problem, we discuss the initial conditions, freeze-out process. …”
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The Existence of Positive Solution of a Nonlinear Problem on Unit Circle by Na Wei, Yanli Zhou, Xiangyu Ge

“…This phenomenon is different from the corresponding boundary value problem.…”
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