Boundary value problems for second-order partial differential equations with operator coefficients by Eberhard Schock, Kudratillo S. Fayazov

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Existence and Multiplicity of Solutions to a Boundary Value Problem for Impulsive Differential Equations by Chunyan He, Yongzhi Liao, Yongkun Li

“…We investigate the existence and multiplicity of solutions to a boundary value problem for impulsive differential equations. …”
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Solvability for Discrete Fractional Boundary Value Problems with a p-Laplacian Operator by Weidong Lv

“…This paper is concerned with the solvability for a discrete fractional p-Laplacian boundary value problem. Some existence and uniqueness results are obtained by means of the Banach contraction mapping principle. …”
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Existence of Solutions for Boundary Value Problem of a Caputo Fractional Difference Equation by Zhiping Liu, Shugui Kang, Huiqin Chen, Jianmin Guo, Yaqiong Cui, Caixia Guo

“…We investigate the existence of solutions for a Caputo fractional difference equation boundary value problem. We use Schauder fixed point theorem to deduce the existence of solutions. …”
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Iterative Method for Solving the Second Boundary Value Problem for Biharmonic-Type Equation by Dang Quang A., Nguyen Van Thien

“…Solving boundary value problems (BVPs) for the fourth-order differential equations by the reduction of them to BVPs for the second-order equations with the aim to use the achievements for the latter ones attracts attention from many researchers. …”
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Boundary value problem with integral conditions for a linear third-order equation by M. Denche, A. Memou

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Study of Nonlocal Boundary Value Problem for the Fredholm–Volterra Integro-Differential Equation by K. R. Raslan, Khalid K. Ali, Reda Gamal Ahmed, Hind K. Al-Jeaid, Amira Abd-Elall Ibrahim

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Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations by Said Melliani, Abdelati El Allaoui, Lalla Saadia Chadli

“…The aim of this paper is to study a boundary value problem of the hybrid differential equation with linear and nonlinear perturbations. …”
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New Results for Multipoint Singular Boundary Value Problems on a Measure Chain by Yan Sun, Yongping Sun, Patricia J. Y. Wong

“…We study the existence and uniqueness of positive solutions for a class of singular m-point boundary value problems of second order differential equations on a measure chain. …”
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Existence of Solutions to Boundary Value Problems for the Discrete Generalized Emden-Fowler Equation by Tieshan He, Fengjian Yang

“…We consider the existence of solutions to boundary value problems for the discrete generalized Emden-Fowler equation. …”
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Existence and uniqueness theorems for some fourth-order nonlinear boundary value problems by Ruyun Ma

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An Existence Result of Positive Solutions for Fully Second-Order Boundary Value Problems by Yongxiang Li, Yaya Shang

“…An existence result of positive solutions is obtained for the fully second-order boundary value problem  -u′′(t)=f(t,u(t),u′(t)),  t∈[0,1],  u(0)=u(1)=0, where f:[0,1]×R+×R→R is continuous. …”
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Solvability of a fourth order boundary value problem with periodic boundary conditions by Chaitan P. Gupta

“…Fourth order boundary value problems arise in the study of the equilibrium of an elastaic beam under an external load. …”
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Approximate Series Solution of Nonlinear Singular Boundary Value Problems Arising in Physiology by Randhir Singh, Jitendra Kumar, Gnaneshwar Nelakanti

“…We introduce an efficient recursive scheme based on Adomian decomposition method (ADM) for solving nonlinear singular boundary value problems. This approach is based on a modification of the ADM; here we use all the boundary conditions to derive an integral equation before establishing the recursive scheme for the solution components. …”
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On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems by Alp Arslan Kıraç

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Existence and Multiplicity of Solutions for Discrete Nonlinear Two-Point Boundary Value Problems by Jianmin Guo, Caixia Guo

“…By using Morse theory, the critical point theory, and the character of 𝐾1/2, we consider the existence and multiplicity results of solutions to the following discrete nonlinear two-point boundary value problem −Δ2𝑥(𝑘−1)=𝑓(𝑘,𝑥(𝑘)),𝑘∈ℤ(1,𝑇) subject to 𝑥(0)=0=Δ𝑥(𝑇), where 𝑇 is a positive integer, ℤ(1,𝑇)={1,2,…,𝑇},Δ is the forward difference operator defined by Δ𝑥(𝑘)=𝑥(𝑘+1)−𝑥(𝑘), and 𝑓∶ℤ(1,𝑇)×ℝ→ℝ is continuous. …”
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Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential Equations by Hong-Rui Sun, Ya-Ning Li, Juan J. Nieto, Qing Tang

“…This paper is concerned with the existence of solutions for Sturm-Liouville boundary value problem of a class of second-order impulsive differential equations, under different assumptions on the nonlinearity and impulsive functions, existence criteria of single and multiple solutions are established. …”
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Variational Iteration Method for Initial and Boundary Value Problems Using He's Polynomials by Syed Tauseef Mohyud-Din, Ahmet Yildirim, M. M. Hosseini

“…This paper outlines a detailed study of the coupling of He's polynomials with correction functional of variational iteration method (VIM) for solving various initial and boundary value problems. The elegant coupling gives rise to the modified versions of VIM which is very efficient in solving nonlinear problems of diversified nature. …”
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Monotone Iterative Solutions for Nonlinear Boundary Value Problems of Fractional Differential Equation by Chaozhu Hu, Bin Liu, Songfa Xie

“…By means of the method of quasi-lower and quasi-upper solutions and monotone iterative technique, we consider the nonlinear boundary value problems with Caputo fractional derivative and introduce two well-defined monotone sequences of quasi-lower and quasi-upper solutions which converge uniformly to the actual solution of the problem, and then the existence results of the solution for the problems are established. …”
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Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems by Cheng Chen, Jiafa Xu, Donal O’Regan, Zhengqing Fu

“…Using the fixed point index, we establish two existence theorems for positive solutions to a system of semipositone fractional difference boundary value problems. We adopt nonnegative concave functions and nonnegative matrices to characterize the coupling behavior of our nonlinear terms.…”
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