Existence of nonnegative solutions for second order \(m\)-point boundary value problems at resonance

DOI10.1016/j.amc.2008.04.015zbMath1217.34030OpenAlexW2056104337MaRDI QIDQ627135

Feng Wang, Yujun Cui, Fang Zhang

Publication date: 21 February 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.04.015

zbMATH Keywords

nonnegative solutionsresonance\(m\)-point boundary value problem

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

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Existence and localization of positive solutions for a fractional boundary value problem at resonance ⋮ Positive solutions for a class of fractional 3-point boundary value problems at resonance ⋮ Positive solutions for fractional differential equation at resonance under integral boundary conditions ⋮ Global structure of positive solutions for some second-order multipoint boundary value problems ⋮ Triple positive solutions for fractional differential equation boundary value problems at resonance ⋮ Existence of nontrivial solutions for superlinear three-point boundary value problems ⋮ Minimal and maximal solutions for a fractional boundary value problem at resonance on the half line ⋮ The existence of solutions for fractional differential equations with p-Laplacian at resonance ⋮ Existence of nonnegative solutions for a fractional \(m\)-point boundary value problem at resonance ⋮ Study of ion-acoustic solitary waves in a magnetized plasma using the three-dimensional time-space fractional Schamel-KdV equation ⋮ Existence and nonexistence of positive solutions for high-order fractional differential equation boundary value problems at resonance

Cites Work

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• A generalized multi-point boundary value problem for second order ordinary differential equations
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• Existence theorems for a second order \(m\)-point boundary value problem
• Periodic solutions of nonlinear second order differential equations
• Eine neue Methode zur Approximation periodischer Lösungen nicht- linearer Differentialgleichungen zweiter Ordnung
• A fixed-point index and existence theorems for semilinear equations in cones
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