On a class of second-order impulsive boundary value problem at resonance by Guolan Cai, Zengji Du, Weigao Ge

“…We consider the following impulsive boundary value problem, x″(t)=f(t,x,x′), t∈J\{t1,t2,…,tk}, Δx(ti)=Ii(x(ti),x′(ti)), Δx′(ti)=Ji(x(ti),x′(ti)), i=1,2,…,k, x(0)=(0), x′(1)=∑j=1m−2αjx′(ηj). …”
Get full text

Numerical Scheme for Solving Singular Two-Point Boundary Value Problems by N. Ratib Anakira, A. K. Alomari, I. Hashim

“…Singular two-point boundary value problems (BVPs) are investigated using a new technique, namely, optimal homotopy asymptotic method (OHAM). …”
Get full text

Initial and Boundary Value Problems for a Class of Nonlinear Metaparabolic Equations by Huafei Di, Zefang Song

“…This paper is devoted to the initial and boundary value problems for a class of nonlinear metaparabolic equations ut−βuxx−kuxxt+γuxxxx=fuxx. …”
Get full text

The Existence of Positive Solutions for Singular Impulse Periodic Boundary Value Problem by Zhaocai Hao, Tanggui Chen

“…We obtain new result of the existence of positive solutions of a class of singular impulse periodic boundary value problem via a nonlinear alternative principle of Leray-Schauder. …”
Get full text

Positive Solutions to Boundary Value Problems of Nonlinear Fractional Differential Equations by Yige Zhao, Shurong Sun, Zhenlai Han, Qiuping Li

“…By the properties of the Green function and Guo-Krasnosel'skii fixed point theorem on cones, the eigenvalue intervals of the nonlinear fractional differential equation boundary value problem are considered, some sufficient conditions for the nonexistence and existence of at least one or two positive solutions for the boundary value problem are established. …”
Get full text

Nonlocal Boundary Value Problems for Elliptic-Parabolic Differential and Difference Equations by Allaberen Ashyralyev, Okan Gercek

Get full text

Coercive solvability of the nonlocal boundary value problem for parabolic differential equations by A. Ashyralyev, A. Hanalyev, P. E. Sobolevskii

“…The nonlocal boundary value problem, v′(t)+Av(t)=f(t)(0≤t≤1),v(0)=v(λ)+μ(0<λ≤1), in an arbitrary Banach space E with the strongly positive operator A, is considered. …”
Get full text

A New Numerical Algorithm for Two-Point Boundary Value Problems by Lihua Guo, Boying Wu, Dazhi Zhang

“…We present a new numerical algorithm for two-point boundary value problems. We first present the exact solution in the form of series and then prove that the n-term numerical solution converges uniformly to the exact solution. …”
Get full text

Existence Results for a Fully Fourth-Order Boundary Value Problem by Yongxiang Li, Qiuyan Liang

“…We discuss the existence of solution for the fully fourth-order boundary value problem u(4)=f(t,u,u′,u′′,u′′′), 0≤t≤1, u(0)=u(1)=u′′(0)=u′′(1)=0. …”
Get full text

The Unique Positive Solution for Singular Hadamard Fractional Boundary Value Problems by Jinxiu Mao, Zengqin Zhao, Chenguang Wang

“…In this paper, we investigate singular Hadamard fractional boundary value problems. The existence and uniqueness of the exact iterative solution are established only by using an iterative algorithm. …”
Get full text

Discrete Approaches to Continuous Boundary Value Problems: Existence and Convergence of Solutions by Douglas R. Anderson, Christopher C. Tisdell

“…We investigate two types of first-order, two-point boundary value problems (BVPs). Firstly, we study BVPs that involve nonlinear difference equations (the “discrete” BVP); and secondly, we study BVPs involving nonlinear ordinary differential equations (the “continuous” BVP). …”
Get full text

Three-Step Block Method for Solving Nonlinear Boundary Value Problems by Phang Pei See, Zanariah Abdul Majid, Mohamed Suleiman

“…We propose a three-step block method of Adam’s type to solve nonlinear second-order two-point boundary value problems of Dirichlet type and Neumann type directly. …”
Get full text

The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission Conditions by Fang-zhen Bo, Ji-jun Ao

“…A class of fourth-order boundary value problems with transmission conditions are investigated. …”
Get full text

Positive Solutions of a General Discrete Dirichlet Boundary Value Problem by Xinfu Li, Guang Zhang

“…In this paper, the nonexistence, existence, and uniqueness of positive solutions for a general discrete Dirichlet boundary value problem are considered by using the maximum principle, eigenvalue method, sub- and supersolution technique, and monotone method. …”
Get full text

Boundary Value Problems of Nonlinear Mixed-Type Fractional Differential Equations by Ping Yu, Hongju Li, Jian Ding, Yanli Ma

“…In this paper, by means of a fixed point theorem for monotone decreasing operators on a cone, we discuss the existence of positive solutions for boundary value problems of nonlinear fractional singular differential equation. …”
Get full text

The Existence of Solutions to a System of Discrete Fractional Boundary Value Problems by Yuanyuan Pan, Zhenlai Han, Shurong Sun, Yige Zhao

“…We study the existence of solutions for the boundary value problem -Δνy1(t)=f(y1(t+ν-1),y2(t+μ-1)), -Δμy2(t)=g(y1(t+ν-1),y2(t+μ-1)), y1(ν-2)=Δy1(ν+b)=0, y2(μ-2)=Δy2(μ+b)=0, where 1<μ,ν≤2, f,g:R×R→R are continuous functions, b∈N0. …”
Get full text

Existence of Solutions for Fractional Boundary Value Problem with Nonlinear Derivative Dependence by Wenzhe Xie, Jing Xiao, Zhiguo Luo

“…We investigate the existence of solutions for fractional boundary value problem including both left and right fractional derivatives by using variational methods and iterative technique.…”
Get full text

Quasilinearization for the Boundary Value Problem of Second-Order Singular Differential System by Peiguang Wang, Tiantian Kong

“…We study the boundary value problems of second-order singular differential equations. …”
Get full text

On well-posedness of the nonlocal boundary value problem for parabolic difference equations by A. Ashyralyev, I. Karatay, P. E. Sobolevskii

“…The well-posedness of this nonlocal boundary value problem for difference equations in various Banach spaces is studied. …”
Get full text

Existence Results for Solutions of Integral Boundary Value Problems on Time Scales by Erbil Cetin, F. Serap Topal

“…This paper deals with the existence of solutions for integral boundary value problems (IBVPs) on time scales. We provide sufficient conditions for the existence of solutions by using Schauder fixed point theorem in a cone. …”
Get full text