Application of Optimal Homotopy Asymptotic Method to Some Well-Known Linear and Nonlinear Two-Point Boundary Value Problems by Muhammad Asim Khan, Shafiq Ullah, Norhashidah Hj. Mohd Ali

“…The objective of this paper is to obtain an approximate solution for some well-known linear and nonlinear two-point boundary value problems. For this purpose, a semianalytical method known as optimal homotopy asymptotic method (OHAM) is used. …”
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Bifurcation from Interval and Positive Solutions of a Nonlinear Second-Order Dynamic Boundary Value Problem on Time Scales by Hua Luo

“…We give a global description of the branches of positive solutions to the nonlinear boundary value problem of second-order dynamic equation on a time scale 𝕋, uΔΔ(t)+f(t,uσ(t))=0,  t∈[0,T]𝕋,  u(0)=u(σ2(T))=0, which is not necessarily linearizable. …”
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A Numerical Study of Linear Two-Points Boundary Value Problems with ODEs of Fourth-Order Using RKM Method by Mohammed S. Mechee, F. A. Fawzi, Shaymaa Mahmoud Abdullah

Subjects: “…RKM, Ordinary Differential Equations; Boundary Value Problems, Order, DEs, ODEs.…”
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Three-Point Boundary Value Problems of Nonlinear Second-Order q-Difference Equations Involving Different Numbers of q by Thanin Sitthiwirattham, Jessada Tariboon, Sotiris K. Ntouyas

“…We study a new class of three-point boundary value problems of nonlinear second-order q-difference equations. …”
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Multiple Positive Solutions of a Second Order Nonlinear Semipositone m-Point Boundary Value Problem on Time Scales by Chengjun Yuan, Yongming Liu

“…In this paper, we study a general second-order m-point boundary value problem for nonlinear singular dynamic equation on time scales uΔ∇(t)+a(t)uΔ(t)+b(t)u(t)+λq(t)f(t,u(t))=0, t∈(0,1)𝕋, u(ρ(0))=0, u(σ(1))=∑i=1m-2αiu(ηi). …”
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Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method by Yulan Wang, Shuai Lu, Fugui Tan, Mingjing Du, Hao Yu

“…We use the reproducing kernel Hilbert space method to solve the fifth-order boundary value problems. The exact solution to the fifth-order boundary value problems is obtained in reproducing kernel space. …”
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An Exponential Spline Difference Scheme for Solving a Class of Boundary Value Problems of Second-Order Ordinary Differential Equations by Dunqian Cao

“…Using these relations, we construct an exponential spline-based difference scheme for solving a class of boundary value problems of second-order ordinary differential equations (ODEs) and analyze the error and the convergence of this method. …”
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BUCKLING OF BEAMS WITH A BOUNDARY ELEMENT TECHNIQUE by ABDERRAZEK MESSAOUDI, LASZLO PETER KISS

Subjects: “…green function, fredholm integral equation, boundary value problem, buckling…”
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The inhomogeneous Riemanian boundary – value problem with infinite index of the logarithmic order ρj ≥ 1 for complex Dini-Lipshitz contour by Petras Alekna

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A New Type of Distributed Parameter Control Systems: Two-Point Boundary Value Problems for Infinite-Dimensional Dynamical Systems by De-Xing Kong, Fa Wu

“…This survey note describes a new type of distributed parameter control systems—the two-point boundary value problems for infinite-dimensional dynamical systems, particularly, for hyperbolic systems of partial differential equations of second order, some of the discoveries that have been done about it and some unresolved questions.…”
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Application of Topological Degree Method for Solutions of Coupled Systems of Multipoints Boundary Value Problems of Fractional Order Hybrid Differential Equations by Muhammad Iqbal, Yongjin Li, Kamal Shah, Rahmat Ali Khan

“…We established the theory to coupled systems of multipoints boundary value problems of fractional order hybrid differential equations with nonlinear perturbations of second type involving Caputo fractional derivative. …”
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Existence of Positive Solutions for Two-Point Boundary Value Problems of Nonlinear Finite Discrete Fractional Differential Equations and Its Application by Caixia Guo, Jianmin Guo, Ying Gao, Shugui Kang

“…This paper is concerned with the two-point boundary value problems of nonlinear finite discrete fractional differential equations. …”
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Hartman-Wintner-Type Inequality for a Fractional Boundary Value Problem via a Fractional Derivative with respect to Another Function by Mohamed Jleli, Mokhtar Kirane, Bessem Samet

“…We consider a fractional boundary value problem involving a fractional derivative with respect to a certain function g. …”
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Boundary value problem for r2d2f/dr2+f=f3 (I): existence and uniqueness by Chie Bing Wang

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An Analytic Study on the Enhancement of Heat Transfer with Nanofluid by Bhuvaneswari SUBRAMANIAN, Elatharasan GOVINDARAJ, Mukesh Kumar PERIYASAMY CHOKKAYEE AMMAL

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Existence of 2m-1 Positive Solutions for Sturm-Liouville Boundary Value Problems with Linear Functional Boundary Conditions on the Half-Line by Yanmei Sun, Zengqin Zhao

“…By using the Leggett-Williams fixed theorem, we establish the existence of multiple positive solutions for second-order nonhomogeneous Sturm-Liouville boundary value problems with linear functional boundary conditions. …”
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Solving Nonlinear Fourth-Order Boundary Value Problems Using a Numerical Approach: (m+1)th-Step Block Method by Oluwaseun Adeyeye, Zurni Omar

“…Nonlinear boundary value problems (BVPs) are more tedious to solve than their linear counterparts. …”
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Some existence and uniqueness results for first-order boundary value problems for impulsive functional differential equations with infinite delay in Fréchet spaces by John R. Graef, Abdelghani Ouahab

“…A recent nonlinear alternative for contraction maps in Fréchet spaces due to Frigon and Granas is used to investigate the existence and uniqueness of solutions to first-order boundary value problems for impulsive functional differential equations with infinite delay. …”
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Multiple Positive Solutions to Multipoint Boundary Value Problem for a System of Second-Order Nonlinear Semipositone Differential Equations on Time Scales by Gang Wu, Longsuo Li, Xinrong Cong, Xiufeng Miao

“…We derive an interval of λ such that any λ lying in this interval, the semipositone coupled boundary value problem has multiple positive solutions. The arguments are based upon fixed-point theorems in a cone.…”
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Green’s Function and Positive Solutions for a Second-Order Singular Boundary Value Problem with Integral Boundary Conditions and a Delayed Argument by Xuemei Zhang, Meiqiang Feng

“…Our results cover a second-order boundary value problem without deviating arguments and are compared with some recent results.…”
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