Infinitely many solutions for systems of Sturm-Liouville boundary value problems

DOI10.1007/s00025-014-0379-1zbMath1314.34056OpenAlexW2068917055MaRDI QIDQ2258456

Lingju Kong, Shapour Heidarkhani, John R. Graef

Publication date: 26 February 2015

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-014-0379-1

zbMATH Keywords

critical point theoryinfinitely many solutionsmultiplicity resultsSturm-Liouville boundary conditions

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for ordinary differential equations (34B15) Sturm-Liouville theory (34B24) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (13)

Existence results for an impulsive Sturm-Liouville boundary value problems with mixed double parameters ⋮ Multiple solutions for systems of Sturm-Liouville boundary value problems ⋮ A variational approach to perturbed discrete anisotropic equations ⋮ Infinitely many solutions for anisotropic variable exponent problems ⋮ Unnamed Item ⋮ CRITICAL POINT APPROACHES FOR IMPULSIVE STURM-LIOUVILLE DIFFERENTIAL EQUATIONS WITH NONLINEAR DERIVATIVE DEPENDENCE ⋮ Infinitely many periodic solutions to a class of perturbed second-order impulsive Hamiltonian systems ⋮ Infinitely many periodic solutions for a class of perturbed second-order differential equations with impulses ⋮ Existence results for a 2nth-order differential equation via variational methods ⋮ Infinitely many solutions for a class of p-Laplacian equation with Sturm-Liouville type nonhomogeneous boundary conditions ⋮ Variational approaches to systems of Sturm–Liouville boundary value problems ⋮ Unnamed Item ⋮ Existence Results for a 2nth-Order Differential Equation with Sturm-Liouville Operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Infinitely many solutions to elliptic problems with variable exponent and nonhomogeneous Neumann conditions
• A critical points approach for the existence of multiple solutions of a Dirichlet quasilinear system
• Property of positive solutions and its applications for Sturm-Liouville singular boundary value problems
• A Neumann boundary value problem for the Sturm-Liouville equation
• Second-order Sturm-Liouville boundary value problem involving the one-dimensional \(p\)-Laplacian
• Infinitely many solutions for a boundary value problem with discontinuous nonlinearities
• Multiple positive solutions to second-order Neumann boundary value problems.
• A general variational principle and some of its applications
• Multiple solutions for a second-order Sturm-Liouville boundary value problem
• Positive solutions to a two point singular boundary value problem
• INFINITELY MANY SOLUTIONS OF THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN
• THREE SOLUTIONS FOR A QUASILINEAR TWO-POINT BOUNDARY-VALUE PROBLEM INVOLVING THE ONE-DIMENSIONAL p-LAPLACIAN
• On singular Sturm–Liouville boundary-value problems
• NONTRIVIAL SOLUTIONS FOR STURM–LIOUVILLE SYSTEMS VIA A LOCAL MINIMUM THEOREM FOR FUNCTIONALS
• Multiplicity of positive solutions for higher order Sturm-Liouville problems

This page was built for publication: Infinitely many solutions for systems of Sturm-Liouville boundary value problems