Results 21 to 30 of about 144 (101)
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
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Multi-term fractional differential equations with nonlocal boundary conditions
Open Mathematics, 2018 We introduce and study a new kind of nonlocal boundary value problems of multi-term fractional differential equations. The existence and uniqueness results for the given problem are obtained by applying standard fixed point theorems.
Ahmad Bashir +3 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This article is devoted to the study of existence, uniqueness, and Ulam–Hyers stability for a coupled system of two nonlinear Caputo‐type multiterm fractional differential equations equipped with coupled closed boundary data. The concept of coupled closed boundary conditions finds its applications in several physical situations, like composite panels ...
Ahmed Alsaedi +3 more
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Boundary Value Problems, 2011 This article investigates a boundary value problem of Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions.
Ahmad Bashir, Nieto Juan
doaj
Unbounded solutions of third order three-point boundary value problems on a half-line
Advances in Nonlinear Analysis, 2016 We consider the following third order three-point boundary value problem on a half-line: x'''(t)+q(t)f(t,x(t),x'(t),x''(t)) = 0, t ∈ (0,+∞), x'(0) = A, x(η) = B, x''(+∞) = C, where η ∈ (0,+∞), but fixed, and f : [0,+∞) × ℝ3 → ℝ satisfies Nagumo's ...
Agarwal Ravi P., Çetin Erbil
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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
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Higher-order impulsive coupled systems with ϕ-Laplacian and generalized jump conditions
Demonstratio MathematicaThis work contains a general theory for coupled systems, with regular and singular semi-linear fully differential equations of higher order, with the possibility of equations of different order and generalized impulsive effects, depending on both ...
Minhós Feliz, Rodrigues Gracino
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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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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In this paper, we study the following second order scalar differential inclusion: bzxΦz′x′∈Azx+Gx,zx,z′x a.e on Λ=0,α under nonlinear general boundary conditions incorporating a large number of boundary problems including Dirichlet, Neumann, Neumann–Steklov, Sturm–Liouville, and periodic problems.
Droh Arsène Béhi +3 more
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Journal of Function Spaces, Volume 2025, Issue 1, 2025.This article analyzes a complex coupled system of multipoint nonlinear boundary value problems involving Caputo‐type fractional discrete differential equations with multiple fractional q−integrals. We establish the uniqueness and existence of solutions using a rigorous approach grounded in fixed‐point theory, specifically Banach’s fixed‐point theorem ...
Hasanen A. Hammad +3 more
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