Periodic Problem Involving Quasilinear Differential Operator and Weak Singularity

DOI10.1515/ANS-2007-0407zbMath1146.34016OpenAlexW2516145004MaRDI QIDQ5449265

Alexander Lomtatidze, Milan Tvrdý, Alberto Cabada

Publication date: 11 March 2008

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2007-0407

zbMATH Keywords

lower and upper solutionsp-Laplacianrepulsive singularityweak singularityantimaximum principlesingular periodic problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (5)

On nonseparated three-point boundary value problems for linear functional differential equations ⋮ A generalized anti-maximum principle for the periodic one-dimensional \(p\)-Laplacian with sign-changing potential ⋮ Optimal conditions for maximum and antimaximum principles of the periodic solution problem ⋮ Recent existence results for second-order singular periodic differential equations ⋮ Periodic solutions for some phi-Laplacian and reflection equations

Cites Work

• Positive solutions to boundary value problems for second-order ordinary differential equations with singular nonlinearities
• Nonresonance for one-dimensional \(p\)-Laplacian with regular restoring.
• Forced singular oscillators and the method of lower and upper solutions
• Solutions périodiques d'équations différentielles et méthode de Leray-Schauder
• Periodic Solutions of Singular Nonlinear Perturbations of the Ordinary p-Laplacian
• A generalized periodic boundary value problem for the one-dimensional p-Laplacian
• On Periodic Solutions of Nonlinear Differential Equations with Singularities

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