Existence and uniqueness of a periodic solution to an indefinite attractive singular equation

DOI10.1007/S10231-015-0501-3zbMath1345.34072OpenAlexW651805984MaRDI QIDQ292660

Robert Hakl, Manuel Zamora

Publication date: 8 June 2016

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-015-0501-3

zbMATH Keywords

uniquenessperiodic solutionLeray-Schauder degreesingular differential equationattractive singularity

Mathematics Subject Classification ID

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

Related Items (11)

Existence of positive periodic solutions for Liénard equations with an indefinite singularity of attractive type ⋮ Weak and strong singularities problems to Liénard equation ⋮ Existence and multiplicity of periodic solutions to differential equations with attractive singularities ⋮ On the positive periodic solutions of a class of Liénard equations with repulsive singularities in degenerate case ⋮ Periodic solutions for Liénard equation with an indefinite singularity ⋮ Periodic solutions to second-order indefinite singular equations ⋮ Positive periodic solution for a second-order damped singular equation via fixed point theorem in cones ⋮ Existence and uniqueness of homoclinic solution for a Rayleigh equation with a singularity ⋮ Uniqueness of positive solutions for boundary value problems associated with indefinite \(\phi\)-Laplacian-type equations ⋮ Periodic solutions for a singular Liénard equation with indefinite weight ⋮ A singular periodic Ambrosetti–Prodi problem of Rayleigh equations without coercivity conditions

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