Pontryagin’s Maximum Principle for the Optimal Control Problems with Multipoint Boundary Conditions by M. J. Mardanov, Y. A. Sharifov

“…Sufficient conditions for the existence and uniqueness of the solution of boundary value problem for every fixed admissible control are obtained. …”
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An Average Linear Difference Scheme for the Generalized Rosenau-KdV Equation by Maobo Zheng, Jun Zhou

“…An average linear finite difference scheme for the numerical solution of the initial-boundary value problem of Generalized Rosenau-KdV equation is proposed. …”
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On a Partial Boundary Value Condition of a Porous Medium Equation with Exponent Variable by Huashui Zhan

“…The initial-boundary value problem of a porous medium equation with a variable exponent is considered. …”
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Existence Results for Fractional Differential Equations with Multistrip Riemann–Stieltjes Integral Boundary Conditions by Tongling Lv, Huihui Pang, Limei Cao

“…This paper is concerned with the existence and multiplicity of the positive solutions for a fractional boundary value problem with multistrip Riemann–Stieltjes integral boundary conditions. …”
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Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition by Zhong Bo Fang, Yan Chai

“…We investigate an initial-boundary value problem for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition. …”
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A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations by Xiangbing Zhou, Wenquan Wu, Hongjiang Ma

“…We also give an application on the existence and uniqueness of the positive solution of a multipoint boundary value problem with fractional derivatives.…”
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Rothe method for a mixed problem with an integral condition for the two-dimensional diffusion equation by Nabil Merazga, Abdelfatah Bouziani

“…This paper deals with an initial boundary value problem with an integral condition for the two-dimensional diffusion equation. …”
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The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach Spaces by Hua Su

“…Our results are even new to ϕ convex and -φ concave quasi operator, and then we apply these results to the two-point boundary value problem of second-order nonlinear ordinary differential equations in the ordered Banach spaces.…”
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Some Properties of Solutions for the Sixth-Order Cahn-Hilliard-Type Equation by Zhao Wang, Changchun Liu

“…We study the initial boundary value problem for a sixth-order Cahn-Hilliard-type equation which describes the separation properties of oil-water mixtures, when a substance enforcing the mixing of the phases is added. …”
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Existence of Solutions to a Class of Semilinear Elliptic Problem with Nonlinear Singular Terms and Variable Exponent by Ying Chu, Yanchao Gao, Wenjie Gao

“…The authors of this paper prove the existence and regularity results for the homogeneous Dirichlet boundary value problem to the equation - div(M(x)∇un)=f(x)/uα(x) with f∈Lm(Ω)  (m⩾…1) and α(x)>0. …”
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A Numerical Method for the Variable-Order Time-Fractional Wave Equations Based on the H2N2 Approximation by Xiao Liu, Yu Bo, Yuanfeng Jin

“…Aiming at the initial boundary value problem of variable-order time-fractional wave equations in one-dimensional space, a numerical method using second-order central difference in space and H2N2 approximation in time is proposed. …”
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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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On the solvability of a higher-order semilinear ODE by Cristian-Paul Danet

“…The existence of at least one or two nontrivial solutions to a general higher-order boundary value problem is established by using variational tools. …”
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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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