Resonant \(p\)-Laplacian problems with functional boundary conditions

DOI10.1186/s13661-018-0986-yzbMath1499.34140OpenAlexW2807645274MaRDI QIDQ2126379

Nickolai Kosmatov, Weihua Jiang

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-018-0986-y

zbMATH Keywords

\(p\)-Laplacianresonancefunctional boundary conditionscontinuation theorems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (4)

Existence of solution for a resonant \(p\)-Laplacian second-order \(m\)-point boundary value problem on the half-line with two dimensional kernel ⋮ Differential equations involving homeomorphism with nonlinear boundary conditions ⋮ The existence of solutions for mixed fractional resonant boundary value problem with \(p(t)\)-Laplacian operator ⋮ Higher-order p-Laplacian boundary value problems with resonance of dimension two on the half-line

Cites Work

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• Solvability of fractional differential equations with \(p\)-Laplacian at resonance
• Existence results for a functional boundary value problem of fractional differential equations
• Some higher-order multi-point boundary value problem at resonance
• An extension of Mawhin's continuation theorem and its application to boundary value problems with a \(p\)-Laplacian
• Solvability for \(p\)-Laplacian boundary value problem at resonance on the half-line
• Multiple positive solutions of nonlinear third-order BVP for a class of \(p\)-Laplacian dynamic equations on time scales
• Second-order functional problems with a resonance of dimension one

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