On the existence of \(m\)-point boundary value problem at resonance for higher order differential equation.

DOI10.1016/S0022-247X(03)00567-5zbMath1046.34029OpenAlexW2051726045WikidataQ115340187 ScholiaQ115340187MaRDI QIDQ1417985

Shiping Lu, Weigao Ge

Publication date: 6 January 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00567-5

zbMATH Keywords

resonanceMawhin's continuation theoremhigher-order differential equationm-point boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (20)

Existence of solutions for functional boundary value problems of second-order nonlinear differential equations system at resonance ⋮ Eigenvalues of a general class of boundary value problem with derivative-dependent nonlinearity ⋮ Uniqueness and existence results for a third-order nonlinear multi-point boundary value problem ⋮ Solvability for some higher order multi-point boundary value problems at resonance ⋮ Existence of solutions to fractional boundary value problems at resonance in Hilbert spaces ⋮ Positive solutions for resonant and nonresonant nonlinear third-order multipoint boundary value problems ⋮ Solvability for a coupled system of fractional differential equations at resonance ⋮ Solvability of fractional differential equation with nonlocal boundary conditions at resonance ⋮ Quasilinear coupled system in the frame of nonsingular ABC-derivatives with \(p\)-Laplacian operator at resonance ⋮ The existence of solutions to boundary value problems of fractional differential equations at resonance ⋮ Solvability of third-order three-point boundary value problems ⋮ Solutions of Sturm-Liouville boundary value problems for higher-order differential equations ⋮ Solvability of a higher-order multi-point boundary value problem at a resonance. ⋮ Solvability for two classes of higher-order multi-point boundary value problems at resonance ⋮ On the existence of a three point boundary value problem at resonance in \(\mathbb R^n\) ⋮ Solvability of \(2n\)-order \(m\)-point boundary value problem at resonance ⋮ The existence of solutions for fractional differential equations with p-Laplacian at resonance ⋮ Asymptotic solutions of singularly perturbed second-order differential equations and application to multi-point boundary value problems ⋮ On the existence of positive solutions of resonant and nonresonant multipoint boundary value problems for third-order nonlinear differential equations ⋮ POSITIVE SOLUTION FOR NONLINEAR THIRD-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE

Cites Work

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• Existence theorems for a second order \(m\)-point boundary value problem
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• Solvability of multi-point boundary value problem at resonance. II.
• Existence theorems for a second order \(m\)-point boundary value problem at resonance
• Solvability of a multi-point boundary value problem at resonance
• On an m-point boundary-value problem for second-order ordinary differential equations
• Solvability of three point boundary value problems at resonance
• A second order m-point boundary value problem at resonance
• A dirichlet type multi-point boundary value problem for second order ordinary differential equations
• On a nonlocal boundary value problem at resonance
• Solvability of a multi-point boundary value problem at resonance.

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