Infinitely many solutions for systems of multi-point boundary value problems using variational methods

zbMath1292.34018MaRDI QIDQ2440840

John R. Graef, Lingju Kong, Shapour Heidarkhani

Publication date: 19 March 2014

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

zbMATH Keywords

critical point theoryinfinitely many solutionsmultiplicity resultsmulti-point boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

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An existence result for impulsive multi-point boundary value systems using a local minimization principle ⋮ Infinitely many solutions for a mixed doubly eigenvalue boundary value problem ⋮ Infinitely many solutions for a class of fractional boundary value problem with $p$-Laplacian with impulsive effects ⋮ Infinitely many weak solutions forp(x)-Laplacian-like problems with Neumann condition ⋮ Infinitely many solutions for systems of \(n\) fourth order partial differential equations coupled with Navier boundary conditions ⋮ Variational analysis for Dirichlet impulsive differential equations with oscillatory nonlinearity ⋮ New Green's function and two infinite families of positive solutions for a second order impulsive singular parametric equation ⋮ Existence results for a dynamic Sturm-Liouville boundary value problem on time scales ⋮ Unnamed Item ⋮ Existence of three solutions for Kirchhoff-type three-point boundary value problems ⋮ Multiplicity results for Kirchhoff-type three-point boundary value problems

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