Existence and Uniqueness of Solutions for Fractional Boundary Value Problems under Mild Lipschitz Condition by Imed Bachar, Habib Mâagli, Hassan Eltayeb

“…This paper deals with the following boundary value problem Dαut=ft,ut,t∈0,1,u0=u1=Dα−3u0=u′1=0, where 3<α≤4,Dα is the Riemann-Liouville fractional derivative, and the nonlinearity f, which could be singular at both t=0 and t=1, is required to be continuous on 0,1×ℝ satisfying a mild Lipschitz assumption. …”
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Existence of Unbounded Solutions for a Third-Order Boundary Value Problem on Infinite Intervals by Hairong Lian, Junfang Zhao

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Solution of the Basic Boundary Value Problems for a Degenerate Elliptic Equation by the Method of Potentials by R.M. Askhatov, R.N. Abaydullin

“…Using these fundamental solutions, simple and double layer potentials are built. The basic boundary value problems for a degenerate elliptic equation are reduced to the equivalent Fredholm integral equations of the second kind. …”
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A Family of Boundary Value Methods for Systems of Second-Order Boundary Value Problems by T. A. Biala, S. N. Jator

“…The methods obtained from these continuous BVMs are weighted the same and are used to simultaneously generate approximations to the exact solution of systems of second-order boundary value problems (BVPs) on the entire interval of integration. …”
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Positive Solutions for a Class of Fourth-Order Boundary Value Problems in Banach Spaces by Jingjing Cai, Guilong Liu

“…Using a specially constructed cone and the fixed point index theory, this work shows existence and nonexistence results of positive solutions for fourth-order boundary value problem with two different parameters in Banach spaces.…”
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Improving Results on Solvability of a Class of nth-Order Linear Boundary Value Problems by Pedro Almenar, Lucas Jódar

“…This paper presents a modification of a recursive method described in a previous paper of the authors, which yields necessary and sufficient conditions for the existence of solutions of a class of nth-order linear boundary value problems, in the form of integral inequalities. …”
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Positive Solutions of a Singular Third-Order m-Point Boundary Value Problem by Shaolin Zhou, Xiaoling Han

“…This paper is concerned with the existence and nonexistence of positive solutions to the singular third-order m-point boundary value problem u′′′(t)+a(t)f(u(t))=0,  0<t<1,  u(0)=u'(0)=0,  u'(1)-∑i=1m-2αiu'(ξi)=λ, where ξi∈[0,1),  αi∈[0,∞)  (i=1,2,…,m-2) are constants, λ∈(0,1) is a parameter, f:[0,∞)→[0,∞) is continuous and a(·) is allowed to be singular at t=0 and t=1. …”
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A new finite difference algorithm for boundary value problems involving transmission conditions by Semih Çavuşoğlu, Oktay Sh. Mukhtarov

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Spectrum of Discrete Second-Order Neumann Boundary Value Problems with Sign-Changing Weight by Ruyun Ma, Chenghua Gao, Yanqiong Lu

“…We study the spectrum structure of discrete second-order Neumann boundary value problems (NBVPs) with sign-changing weight. …”
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First Boundary Value Problem for Cordes-Type Semilinear Parabolic Equation with Discontinuous Coefficients by Aziz Harman, Ezgi Harman

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Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value Problems by Hongyu Li

“…Using fixed point theorems in ordered Banach spaces with the lattice structure, we consider the existence of nontrivial solutions under the condition that the nonlinear term can change sign and study the existence of sign-changing solutions for some second order three-point boundary value problems. Our results improve and generalize on those in the literatures.…”
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Existence theorems for a second order m-point boundary value problem at resonance by Chaitan P. Gupta

“…This paper is concerned with the problem of existence of a solution for the following boundary value problems x″(t)=f(t,x(t),x′(t))+e(t),0<t<1,x′(0)=0,x(1)=x(η),x″(t)=f(t,x(t),x′(t))+e(t),0<t<1,x′(0)=0,x(1)=∑i=1m−2aix(ξi).…”
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Existence of Solutions for a Periodic Boundary Value Problem via Generalized Weakly Contractions by Sirous Moradi, Erdal Karapınar, Hassen Aydi

“…We discuss the existence of solutions for a periodic boundary value problem and for some polynomials. For this purpose, we present some fixed point theorems for weakly and generalized weakly contractive mappings in the setting of partially ordered complete metric spaces.…”
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On an Inverse Boundary Value Problem for a Fourth Order Elliptic Equation with Integral Condition by Yashar T. Mehraliyev

“…An inverse boundary value problem for a fourth order elliptic equation is investigated. …”
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Positive Solutions Using Bifurcation Techniques for Boundary Value Problems of Fractional Differential Equations by Yansheng Liu

“…This paper is concerned with the existence of positive solutions for a class of boundary value problems of fractional differential equations with parameter. …”
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Existence of Solutions for Two-Point Boundary Value Problem of Fractional Differential Equations at Resonance by Lei Hu, Shuqin Zhang, Ailing Shi

“…We establish the existence results for two-point boundary value problem of fractional differential equations at resonance by means of the coincidence degree theory. …”
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Boundary Value Problems for a Super-Sublinear Asymmetric Oscillator: The Exact Number of Solutions by Armands Gritsans, Felix Sadyrbaev

“…The exact number of nontrivial solutions of the two-parameter Dirichlet boundary value problem (i), and (ii) is given.…”
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Weak Solutions for a Second Order Dirichlet Boundary Value Problem on Time Scale by Wandong Lou

“…We adopt the Leray-Schauder degree theory and critical point theory to consider a second order Dirichlet boundary value problem on time scales and obtain some existence theorems of weak solutions for the previous problem.…”
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Solutions for a Class of Hadamard Fractional Boundary Value Problems with Sign-Changing Nonlinearity by Keyu Zhang, Zhengqing Fu

“…Using fixed point methods we establish some existence theorems of positive (nontrivial) solutions for a class of Hadamard fractional boundary value problems with sign-changing nonlinearity.…”
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On Multiple Positive Solutions for Singular Fractional Boundary Value Problems with Riemann-Stieltjes Integrals by Lufeng Gu, Qiuyan Zhong, Zhuyan Shao

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