A new continuation theorem for the existence of solutions to \(p\)-Laplacian BVP at resonance

DOI10.1016/J.AMC.2008.11.041zbMath1169.34307OpenAlexW2080673067MaRDI QIDQ1004171

Xueping Hu, Bo Du

Publication date: 2 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.11.041

zbMATH Keywords

boundary value problemdegree theoryresonance

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (10)

Existence of solutions for functional boundary value problems of second-order nonlinear differential equations system at resonance ⋮ Existence of solution for a \(p\)-Laplacian multi-point boundary value problem at resonance ⋮ Solvability for a coupled system of fractional differential equations at resonance ⋮ Existence of solutions to a nonlocal boundary value problem with nonlinear growth ⋮ 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 boundary value problem with \(p\)-Laplacian at resonance ⋮ The existence of solutions for fractional differential equations with p-Laplacian at resonance ⋮ Solvability for fractional \(p\)-Laplacian differential equations with multipoint boundary conditions at resonance on infinite interval ⋮ Existence result for boundary value problem of nonlinear impulsive fractional differential equation at resonance

Cites Work

• Ordinary differential equations with nonlinear boundary conditions
• Solvability of multi-point boundary value problems at resonance. I
• On a third-order multi-point boundary value problem at resonance
• Some higher-order multi-point boundary value problem at resonance
• Existence and multiplicity of solutions for four-point boundary value problems at resonance
• Solvability of multi-point boundary value problem at resonance. II.
• An extension of Mawhin's continuation theorem and its application to boundary value problems with a \(p\)-Laplacian

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