Existence and multiplicity of solutions to boundary value problems for fourth-order impulsive differential equations

DOI10.1186/1687-2770-2014-105zbMath1319.34044OpenAlexW2101735239WikidataQ59322343 ScholiaQ59322343MaRDI QIDQ476986

Alberto Cabada, Stepan Agop Tersian

Publication date: 2 December 2014

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-105

zbMATH Keywords

weak solutionPalais-Smale conditionclassical solutionmountain-pass theoremClarke's theoremfourth-order impulsive differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Variational principles in infinite-dimensional spaces (58E30) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (9)

Infinitely many solutions for impulsive nonlocal elastic beam equations ⋮ Existence results for a kind of fourth-order impulsive integral boundary value problems ⋮ Existence results for an impulsive Sturm-Liouville boundary value problems with mixed double parameters ⋮ Existence and multiplicity of positive solutions to a fourth-order impulsive integral boundary value problem with deviating argument ⋮ Existence of infinitely many periodic solutions for perturbed semilinear fourth-order impulsive differential inclusions ⋮ Multi-parameter fourth order impulsive integral boundary value problems with one-dimensional \(m\)-Laplacian and deviating arguments ⋮ Triple positive solutions of fourth-order impulsive differential equations with integral boundary conditions ⋮ Multiplicity results for superlinear boundary value problems with impulsive effects ⋮ Infinitely many solutions for higher order impulsive equations without symmetry

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• Periodic and homoclinic solutions of extended Fisher-Kolmogorov equations

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