Periodic solutions for a second-order differential equation with indefinite weak singularity

DOI10.1017/prm.2018.79zbMath1434.34038OpenAlexW2910124645WikidataQ115337094 ScholiaQ115337094MaRDI QIDQ5244475

José Godoy, Manuel Zamora

Publication date: 21 November 2019

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/prm.2018.79

zbMATH Keywords

periodic solutionsdegree theoryLeray-Schauder continuation theoremsingular differential equationsweak-indefinite singularity

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (7)

Stability and exact periodic solutions of indefinite equations arising from the Kepler problem on the sphere ⋮ Periodic and soliton structures in a generalized Klein-Gordon equation with horizontal singular lines ⋮ Second-order differential equation with indefinite and repulsive singularities ⋮ A general result to the existence of a periodic solution to an indefinite equation with a weak singularity ⋮ Unnamed Item ⋮ Uniqueness of positive solutions for boundary value problems associated with indefinite \(\phi\)-Laplacian-type equations ⋮ Existence and multiplicity of periodic solutions to indefinite singular equations having a non-monotone term with two singularities

Cites Work

• Unnamed Item
• Multiple solutions to Neumann problems with indefinite weight and bounded nonlinearities
• Periodic solutions of singular equations
• Periodic solutions to second-order indefinite singular equations
• Pairs of positive periodic solutions of second order nonlinear equations with indefinite weight
• On periodic solutions of second-order differential equations with attractive-repulsive singularities
• Leray-Schauder continuation theorems in the absence of a priori bounds
• Local superlinearity and sublinearity for indefinite semilinear elliptic problems.
• Variational methods for indefinite superlinear homogeneous elliptic problems
• Second-order ordinary differential equations with indefinite weight: the Neumann boundary value problem
• A counterexample for singular equations with indefinite weight
• Pairs of positive periodic solutions of nonlinear ODEs with indefinite weight: a topological degree approach for the super–sublinear case
• Periodic Solutions of a Singular Equation With Indefinite Weight
• CONTINUATION THEOREMS FOR AMBROSETTI-PRODI TYPE PERIODIC PROBLEMS
• Periodic Solutions of an Indefinite Singular Equation Arising from the Kepler Problem on the Sphere

This page was built for publication: Periodic solutions for a second-order differential equation with indefinite weak singularity