Existence of solutions to functional boundary value problem of second-order nonlinear differential equation

DOI10.1016/j.jmaa.2010.08.011zbMath1208.34020OpenAlexW2091527229WikidataQ115346176 ScholiaQ115346176MaRDI QIDQ711033

Juhua Liang, Zhi-Liang Zhao

Publication date: 25 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.08.011

zbMATH Keywords

existence of solutionsresonancecoincidence degree theorysecond order boundary value problem

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 (23)

Solvability of a third-order differential equation with functional boundary conditions at resonance ⋮ Resonant \(p\)-Laplacian problems with functional boundary conditions ⋮ Existence of solutions for functional boundary value problems at resonance on the half-line ⋮ The existence of solutions for Sturm-Liouville differential equation with random impulses and boundary value problems ⋮ Existence of solutions for functional boundary value problems of second-order nonlinear differential equations system at resonance ⋮ Resonant functional problems of fractional order ⋮ Existence results for a functional boundary value problem of fractional differential equations ⋮ The existence of solutions to integral boundary value problems of fractional differential equations at resonance ⋮ Nonlinear differential equations involving mixed fractional derivatives with functional boundary data ⋮ A singular non-local problem at resonance ⋮ Existence results for fractional order differential equation with nonlocal Erdélyi-Kober and generalized Riemann-Liouville type integral boundary conditions at resonance ⋮ On the solvability of nonlinear Sturm-Liouville problems ⋮ The existence of solutions for four-point coupled boundary value problems of fractional differential equations at resonance ⋮ Nonlinear scalar multipoint boundary value problems at resonance ⋮ On the solvability of multipoint boundary value problems for discrete systems at resonance ⋮ Higher order functional boundary value problems without monotone assumptions ⋮ Existence of solutions for second-order integral boundary value problems ⋮ On nonlinear perturbations of Sturm-Liouville problems in discrete and continuous settings ⋮ Second-order functional problems with a resonance of dimension one ⋮ Solvability of fractional differential equations with \(p\)-Laplacian and functional boundary value conditions at resonance ⋮ Impulsive problems for fractional differential equations with functional boundary value conditions at resonance ⋮ Solvability of mixed Hilfer fractional functional boundary value problems with \(p\)-Laplacian at resonance ⋮ Conjugate boundary value problems with functional boundary conditions at resonance

Cites Work

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• Extremal solutions for the difference \(\phi\)-Laplacian problem with nonlinear functional boundary conditions
• Sufficient conditions for the existence of nonnegative solutions of a nonlocal boundary value problem
• On a third order nonlinear boundary value problem at resonance
• A multi-point boundary value problem with two critical conditions
• A note on multi-point boundary value problems
• Multiple solutions for some functional boundary value problems
• Multiplicity results for a third order boundary value problem at resonance
• Solvability of three point boundary value problems at resonance
• On some higher order boundary value problems at resonance

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