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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Existence and Multiplicity of Solutions for a Periodic Hill's Equation with Parametric Dependence and Singularities by Alberto Cabada, José Ángel Cid

“…We deal with the existence and multiplicity of solutions for the periodic boundary value problem x″(t)+a(t)x(t)=λg(t)f(x)+c(t), x(0)=x(T), x′(0)=x′(T), where λ is a positive parameter. …”
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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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A Generalized Nonlinear Gronwall-Bellman Inequality with Maxima in Two Variables by Yong Yan

“…We apply our result to a boundary value problem of a partial differential equation with maxima for uniqueness.…”
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Multiple Positive Solutions for Nonlinear Semipositone Fractional Differential Equations by Wen-Xue Zhou, Ji-Gen Peng, Yan-Dong Chu

“…We present some new multiplicity of positive solutions results for nonlinear semipositone fractional boundary value problem D0+αu(t)=p(t)f(t,u(t))-q(t),0<t<1,u(0)=u(1)=u'(1)=0, where 2<α≤3 is a real number and D0+α is the standard Riemann-Liouville differentiation. …”
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Asymptotic behaviour of solutions for porous medium equation with periodic absorption by Yin Jingxue, Wang Yifu

“…We are interested in the discussion of asymptotic behaviour of solutions of the first boundary value problem for the equation. In contrast to the equation without sources, we show that the solutions may not decay but may be attracted into any small neighborhood of the set of all nontrivial periodic solutions, as time tends to infinity. …”
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Positive Solutions for Nonlinear Singular Differential Systems Involving Parameter on the Half-Line by Lishan Liu, Ying Wang, Xinan Hao, Yonghong Wu

“…By using the upper-lower solutions method and the fixed-point theorem on cone in a special space, we study the singular boundary value problem for systems of nonlinear second-order differential equations involving two parameters on the half-line. …”
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On the Modified Jump Problem for the Laplace Equation in the Exterior of Cracks in a Plane by P. A. Krutitskii, A. Sasamoto

“…The boundary value problem for the Laplace equation outside several cracks in a plane is studied. …”
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Solving the Linear 1D Thermoelasticity Equations with Pure Delay by Denys Ya. Khusainov, Michael Pokojovy

“…For an initial-boundary value problem associated with this system, we prove a well-posedness result in a certain topology under appropriate regularity conditions on the data. …”
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A New Algorithm for System of Integral Equations by Abdujabar Rasulov, Adem Kilicman, Zainidin Eshkuvatov, Gulnora Raimova

“…Using the new algorithm it is also possible to solve an initial boundary value problem for system of parabolic equations. …”
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