Periodic solution for second order damped differential equations with attractive-repulsive singularities

DOI10.1216/RMJ-2018-48-3-753zbMath1397.34049OpenAlexW2887107310MaRDI QIDQ1657767

Zhibo Cheng, Jingli Ren

Publication date: 14 August 2018

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1533230823

zbMATH Keywords

positive periodic solutionsecond order differential equationattractive-repulsive singularitiesSchauder's fixed point theorem.

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) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (12)

Positive periodic solutions to a second-order singular differential equation with indefinite weights ⋮ An exact expression of positive periodic solution for a first-order singular equation ⋮ Weak and strong singularities problems to Liénard equation ⋮ Positive periodic solution to a second-order differential equation with attractive-repulsive singularities ⋮ Second-order differential equation with indefinite and repulsive singularities ⋮ Positive periodic solution for generalized Basener-Ross model ⋮ Singularities of attractive and repulsive type for \(p\)-Laplacian generalized Liénard equation ⋮ Unnamed Item ⋮ Positive periodic solution for a second-order damped singular equation via fixed point theorem in cones ⋮ POSITIVE PERIODIC SOLUTION FOR SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATION WITH SINGULARITY OF ATTRACTIVE TYPE ⋮ Existence and uniqueness of homoclinic solution for a Rayleigh equation with a singularity ⋮ Study on variable coefficients singular differential equation via constant coefficients differential equation

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