Existence of a positive solution for an nth order boundary value problem for nonlinear difference equations by Susan D. Lauer, Johnny Henderson

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Existence of Positive Solutions for m-Point Boundary Value Problem for Nonlinear Fractional Differential Equation by Moustafa El-Shahed, Wafa M. Shammakh

“…We investigate an m-point boundary value problem for nonlinear fractional differential equations. …”
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The Existence of Positive Solutions for Boundary Value Problem of the Fractional Sturm-Liouville Functional Differential Equation by Yanan Li, Shurong Sun, Zhenlai Han, Hongling Lu

“…We study boundary value problems for the following nonlinear fractional Sturm-Liouville functional differential equations involving the Caputo fractional derivative:   CDβ(p(t)CDαu(t)) + f(t,u(t-τ),u(t+θ))=0, t∈(0,1),  CDαu(0)= CDαu(1)=( CDαu(0))=0, au(t)-bu′(t)=η(t), t∈[-τ,0], cu(t)+du′(t)=ξ(t), t∈[1,1+θ], where   CDα,  CDβ denote the Caputo fractional derivatives, f is a nonnegative continuous functional defined on C([-τ,1+θ],ℝ), 1<α≤2, 2<β≤3, 0<τ, θ<1/4 are suitably small, a,b,c,d>0, and η∈C([-τ,0],[0,∞)), ξ∈C([1,1+θ],[0,∞)). …”
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A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems by Syeda Tehmina Ejaz, Ghulam Mustafa

“…We construct an algorithm for the numerical solution of nonlinear third-order boundary value problems. This algorithm is based on eight-point binary subdivision scheme. …”
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Uniqueness and Existence of Positive Solutions for Singular Differential Systems with Coupled Integral Boundary Value Problems by Yujun Cui, Lishan Liu, Xingqiu Zhang

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Numerical Algorithm for the Third-Order Partial Differential Equation with Three-Point Boundary Value Problem by Jing Niu, Ping Li

“…A numerical method based on the reproducing kernel theorem is presented for the numerical solution of a three-point boundary value problem with an integral condition. Using the reproducing property and the existence of orthogonal basis in a new reproducing kernel Hilbert space, we obtain a representation of exact solution in series form and its approximate solution by truncating the series. …”
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On an Initial Boundary Value Problem for a Class of Odd Higher Order Pseudohyperbolic Integrodifferential Equations by Said Mesloub

“…This paper is devoted to the study of the well-posedness of an initial boundary value problem for an odd higher order nonlinear pseudohyperbolic integrodifferential partial differential equation. …”
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Multiple Solutions for Boundary Value Problems of th-Order Nonlinear Integrodifferential Equations in Banach Spaces by Yanlai Chen

“…The boundary value problems of a class of th-order nonlinear integrodifferential equations of mixed type in Banach space are considered, and the existence of three solutions is obtained by using the fixed-point index theory.…”
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New solvability condition of 2-d nonlocal boundary value problem for Poisson’s operator on rectangle by Dovlet M. Dovletov

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On a two-point boundary value problem for second-order differential inclusions on Riemannian manifolds by Yuri E. Gliklikh, Andrei V. Obukhovskii

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Necessary and Sufficient Condition for the Existence of Solutions to a Discrete Second-Order Boundary Value Problem by Chenghua Gao

“…This paper is concerned with the existence of solutions for the discrete second-order boundary value problem Δ2u(t-1)+λ1u(t)+g(Δu(t))=f(t), t∈{1,2,…,T}, u(0)=u(T+1)=0, where T>1 is an integer, f:{1,…,T}→R, g:R→R is bounded and continuous, and λ1 is the first eigenvalue of the eigenvalue problem Δ2u(t-1)+λu(t)=0, t∈T, u(0)=u(T+1)=0.…”
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Existence and Nonexistence of Positive Solutions for Fractional Three-Point Boundary Value Problems with a Parameter by Yunhong Li, Weihua Jiang

“…On the basis of the properties of Green’s function and Guo-Krasnosel’skii fixed point theorem on cones, the existence and nonexistence of positive solutions are obtained for the boundary value problems. We also give some examples to illustrate the effectiveness of our main results.…”
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Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with -Laplacian Operator by Shang-lin Yao, Guo-hui Wang, Zhi-ping Li, Li-jun Yu

“…We investigate the existence of multiple positive solutions for three-point boundary value problem of fractional differential equation with -Laplacian operator , where are the standard Riemann-Liouville derivatives with , and the constant is a positive number satisfying ; -Laplacian operator is defined as . …”
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Uniqueness and Asymptotic Behavior of Positive Solutions for a Fractional-Order Integral Boundary Value Problem by Min Jia, Xin Liu, Xuemai Gu

“…The existence, uniqueness, and asymptotic behavior of positive solutions to the singular nonlocal integral boundary value problem for fractional differential equation are obtained. …”
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Uniqueness and Multiplicity of Solutions for a Second-Order Discrete Boundary Value Problem with a Parameter by Xi-Lan Liu, Jian-Hua Wu

“…This paper is concerned with the existence of unique and multiple solutions to the boundary value problem of a second-order difference equation with a parameter, which is a complement of the work by J. …”
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Toward the Approximate Solution for Fractional Order Nonlinear Mixed Derivative and Nonlocal Boundary Value Problems by Hammad Khalil, Mohammed Al-Smadi, Khaled Moaddy, Rahmat Ali Khan, Ishak Hashim

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The Existence of Solutions for Four-Point Coupled Boundary Value Problems of Fractional Differential Equations at Resonance by Yumei Zou, Lishan Liu, Yujun Cui

“…A four-point coupled boundary value problem of fractional differential equations is studied. …”
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Triple Positive Solutions for Third-Order m-Point Boundary Value Problems on Time Scales by Jian Liu, Fuyi Xu

“…We study the following third-order m-point boundary value problems on time scales (φ(uΔ∇))∇+a(t)f(u(t))=0, t∈[0,T]T, u(0)=∑i=1m−2biu(ξi), uΔ(T)=0, φ(uΔ∇(0))=∑i=1m−2ciφ(uΔ∇(ξi)), where φ:R→R is an increasing homeomorphism and homomorphism and φ(0)=0, 0<ξ1<⋯<ξm−2<ρ(T). …”
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Multiplicity of positive solutions for a third-order boundary value problem with nonlocal conditions of integral type by Sergey Smirnov

“…We prove the existence of multiple positive solutions for a nonlinear third-order nonlocal boundary value problem by applying Krasnosel’skii’s fixed point theorem. …”
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A boundary value problem with a discontinuous coefficient and containing a spectral parameter in the boundary condition by A. A. Darwish

Subjects: “…boundary value problems…”
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