Periodic solutions to the Liénard type equations with phase attractive singularities

DOI10.1186/1687-2770-2013-47zbMath1288.34040OpenAlexW2104380194WikidataQ59293851 ScholiaQ59293851MaRDI QIDQ2444619

Robert Hakl, Manuel Zamora

Publication date: 10 April 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-47

zbMATH Keywords

periodic solutionRayleigh-Plesset equationsingular equationupper and lower function

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Gas dynamics (general theory) (76N15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (6)

Existence of positive periodic solutions for Liénard equations with an indefinite singularity of attractive type ⋮ Existence and uniqueness of a periodic solution to an indefinite attractive singular equation ⋮ Positive periodic solution for indefinite singular Liénard equation with \(p\)-Laplacian ⋮ Existence and multiplicity of periodic solutions to differential equations with attractive singularities ⋮ Non-singular solutions of a Rayleigh-Plesset equation under a periodic pressure field ⋮ Positive periodic solution to indefinite singular Liénard equation

Cites Work

• Maximum and antimaximum principles for a second order differential operator with variable coefficients of indefinite sign
• Periodic solutions of singular second order differential equations: upper and lower functions
• Existence of periodic solutions for second-order differential equations with singularities and the strong force condition
• Weak singularities may help periodic solutions to exist
• Positive periodic solutions of Hill's equations with singular nonlinear perturbations
• Existence of positive periodic solutions for the Liénard differential equations with weakly repulsive singularity
• On periodic solutions of second-order differential equations with attractive-repulsive singularities
• Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
• Periodic solutions of Liénard equations with singular forces of repulsive type
• Periodic solutions of second order non-autonomous singular dynamical systems
• Applications of Schauder's fixed point theorem to singular differential equations
• Higher order non‐resonance for differential equations with singularities
• Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems

This page was built for publication: Periodic solutions to the Liénard type equations with phase attractive singularities