Results 31 to 40 of about 1,790 (138)
On the discreteness of the spectra of the Dirichlet and Neumann p‐biharmonic problems
Abstract and Applied Analysis, Volume 2004, Issue 9, Page 777-792, 2004., 2004 We are interested in a nonlinear boundary value problem for (|u″|p−2u″)′′=λ|u|p−2u in [0, 1], p > 1, with Dirichlet and Neumann boundary conditions. We prove that eigenvalues of the Dirichlet problem are positive, simple, and isolated, and form an increasing unbounded sequence. An eigenfunction, corresponding to the nth eigenvalue, has precisely n − 1
Jiří Benedikt
wiley +1 more source
Positive solution of a fractional differential equation with integral boundary conditions
Journal of Applied Mathematics and Computational Mechanics, 2018 In this paper, we prove the existence and uniqueness of a positive solution for a boundary value problem of nonlinear fractional differential equations involving a Caputo fractional operator with integral boundary conditions.
Mohammed S Abdo +2 more
semanticscholar +1 more source
Differential Equations & Applications, 2020 The aim of this work is to develop a fuller theory regarding the existence, uniqueness and approximation of solutions to third-order boundary value problems via fixed point methods.
S. Almuthaybiri, C. Tisdell
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Multiplicity results for asymmetric boundary value problems with indefinite weights
Abstract and Applied Analysis, Volume 2004, Issue 11, Page 957-979, 2004., 2004 We prove existence and multiplicity of solutions, with prescribed nodal properties, to a boundary value problem of the form u″ + f(t, u) = 0, u(0) = u(T) = 0. The nonlinearity is supposed to satisfy asymmetric, asymptotically linear assumptions involving indefinite weights.
Francesca Dalbono
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Advances in Nonlinear Analysis, 2016 We are concerned with the existence, uniqueness and global asymptotic behavior of positive continuous solutions to the second-order boundary value ...
Bachar Imed, Mâagli Habib
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Open Mathematics, 2022 In this paper, we use the shooting method to study the solvability of the boundary value problem of differential equations with sign-changing weight function: u″(t)+(λa+(t)−μa−(t))g(u)=0 ...
Yue Xu, Xiaoling Han
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Resonant mixed fractional-order p-Laplacian boundary value problem on the half-line
Nonautonomous Dynamical Systems, 2021 This study aims at establishing the solvability of a fractional-order p-Laplacian boundary value problem involving both the left Caputo and right Riemann-Liouville fractional derivatives on the half-line.
Imaga O. F., Iyase S. A., Odekina O. G.
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Fractional Differential Calculus, 2019 In this article, we consider a family of two-point Riemann–Liouville type nabla fractional boundary value problems involving a fractional difference boundary condition.
J. Jonnalagadda
semanticscholar +1 more source
Existence of positive solutions of a superlinear boundary value problem with indefinite weight
, 2015 We deal with the existence of positive solutions for a two-point boundary value problem associated with the nonlinear second order equation $u''+a(x)g(u)=0$. The weight $a(x)$ is allowed to change its sign. We assume that the function $g\colon\mathopen{[}
A. Zettl +11 more
core +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.The main objective of this research involves studying a new novel coupled pantograph system with fractional operators together with nonlocal antiperiodic integral boundary conditions. The system consists of nonlinear pantograph fractional equations which integrate with Caputo fractional operators and Hadamard integrals.
Gunaseelan Mani +4 more
wiley +1 more source