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281
Positive solutions of three-point boundary value problems for higher-order p-Laplacian with infinitely many singularities
Published 2006-01-01“…We study a three-point nonlinear boundary value problem with higher-order p-Laplacian. We show that there exist countable many positive solutions by using the fixed point index theorem for operators in a cone.…”
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282
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283
Existence and Uniqueness of Solutions for a Fractional Order Antiperiodic Boundary Value Problem with a p-Laplacian Operator
Published 2013-01-01“…We study the existence and uniqueness of solutions for a class of antiperiodic boundary value problems of the fractional differential equation with a p-Laplacian operator. …”
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284
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285
Existence and Uniqueness of Solutions for a Discrete Fractional Mixed Type Sum-Difference Equation Boundary Value Problem
Published 2015-01-01“…By means of Schauder’s fixed point theorem and contraction mapping principle, we establish the existence and uniqueness of solutions to a boundary value problem for a discrete fractional mixed type sum-difference equation with the nonlinear term dependent on a fractional difference of lower order. …”
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286
Numerical Solution for Third-Order Two-Point Boundary Value Problems with the Barycentric Rational Interpolation Collocation Method
Published 2021-01-01“…The numerical solution for a kind of third-order boundary value problems is discussed. With the barycentric rational interpolation collocation method, the matrix form of the third-order two-point boundary value problem is obtained, and the convergence and error analysis are obtained. …”
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287
Existence Results for ψ-Hilfer Fractional Integro-Differential Hybrid Boundary Value Problems for Differential Equations and Inclusions
Published 2021-01-01“…In this research work, we study a new class of ψ-Hilfer hybrid fractional integro-differential boundary value problems with nonlocal boundary conditions. …”
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288
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Fractional Sobolev Space on Time Scales and Its Application to a Fractional Boundary Value Problem on Time Scales
Published 2022-01-01“…Finally, as an application, by constructing an appropriate variational setting, using fibering mapping and Nehari manifolds, the existence of weak solutions for a class of fractional boundary value problems on time scales is studied, and a result of the existence of weak solutions for this problem is obtained.…”
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291
Multiplicity of Positive Solutions for a Singular Second-Order Three-Point Boundary Value Problem with a Parameter
Published 2014-01-01“…This paper is concerned with the following second-order three-point boundary value problem u″t+β2ut+λqtft,ut=0, t∈0 , 1, u0=0, u(1)=δu(η), where β∈(0,π/2), δ>0, η∈(0,1), and λ is a positive parameter. …”
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292
Existence of Three Positive Solutions for a Class of Boundary Value Problems of Caputo Fractional q-Difference Equation
Published 2018-01-01“…A class of boundary value problems of Caputo fractional q-difference equation is introduced. …”
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293
Periodic boundary value problem for second order integro-ordinary differential equations with general kernel and Carathéodory nonlinearities
Published 1995-01-01“…We study the existence of solutions for the periodic boundary value problem for some second order integro-differential equations with a general kernel. …”
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294
Positive Solutions for Third-Order Nonlinear p-Laplacian m-Point Boundary Value Problems on Time Scales
Published 2008-01-01“…We study the following third-order p-Laplacian m-point boundary value problems on time scales: (ϕp(uΔ∇))∇+a(t)f(t,u(t))=0, t∈[0,T]T, βu(0)−γuΔ(0)=0, u(T)=∑i=1m−2aiu(ξi), ϕp(uΔ∇(0))=∑i=1m−2biϕp(uΔ∇(ξi)), where ϕp(s) is p-Laplacian operator, that is, ϕp(s)=|s|p−2s, p>1, ϕp−1=ϕq, 1/p+1/q=1, 0<ξ1<⋯<ξm−2<ρ(T). …”
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295
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On the relation between interior critical points of positive solutions and parameters for a class of nonlinear boundary value problems
Published 2002-01-01“…We consider the boundary value problem −u″(x)=λf(u(x)), x∈(0,1); u′(0)=0; u′(1)+αu(1)=0, where α>0, λ>0 are parameters and f∈c2[0,∞) such that f(0)<0. …”
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297
Positive Solutions for Third-Order Boundary Value Problems with the Integral Boundary Conditions and Dependence on the First-Order Derivatives
Published 2022-01-01“…In this paper, by the use of a new fixed point theorem and the Green function of BVPs, the existence of at least one positive solution for the third-order boundary value problem with the integral boundary conditions is considered,where there is a nonnegative continuous function. …”
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298
The Solutions of Sturm-Liouville Boundary-Value Problem for Fourth-Order Impulsive Differential Equation via Variational Methods
Published 2014-01-01“…The Sturm-Liouville boundary-value problem for fourth-order impulsive differential equations is studied. …”
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299
Positive Solutions of a Two-Point Boundary Value Problem for Singular Fractional Differential Equations in Banach Space
Published 2013-01-01“…This paper investigates the existence of positive solutions to a two-point boundary value problem (BVP) for singular fractional differential equations in Banach space and presents a number of new results. …”
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300