Existence and multiplicity of solutions for a periodic Hill's equation with parametric dependence and singularities

DOI10.1155/2011/545264zbMath1229.34034OpenAlexW1975958100WikidataQ58654290 ScholiaQ58654290MaRDI QIDQ535967

Alberto Cabada, José Ángel Cid

Publication date: 16 May 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/222828

zbMATH Keywords

Green's function

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (7)

Existence of positive solutions for periodic boundary value problem with sign-changing Green's function ⋮ Multiplicity of positive periodic solutions to nonlinear boundary value problems with a parameter ⋮ Existence Results for Periodic Boundary Value Problems with a Convenction Term ⋮ Existence and multiplicity results for nonlinear differential equations depending on a parameter in semipositone case ⋮ Multiplicity results for integral boundary value problems of fractional order with parametric dependence ⋮ Multiplicity results for nonlinear periodic fourth order difference equations with parameter dependence and singularities ⋮ The eigenvalue characterization for the constant sign Green's functions of \((k,n-k)\) problems

Cites Work

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• A generalized anti-maximum principle for the periodic one-dimensional \(p\)-Laplacian with sign-changing potential
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• PERIODIC SOLUTIONS OF SINGULAR DIFFERENTIAL EQUATIONS WITH SIGN-CHANGING POTENTIAL
• A relationship between the periodic and the Dirichlet BVPs of singular differential equations
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