Periodic solutions of second order singular coupled systems

DOI10.1016/j.na.2009.02.053zbMath1204.34026OpenAlexW2055499377MaRDI QIDQ1029403

Daqing Jiang, Zhongwei Cao

Publication date: 10 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.02.053

zbMATH Keywords

periodic solutionsSchauder's fixed point theoremsecond order non-autonomous singular coupled systems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (8)

A note on periodic solutions of second order nonautonomous singular coupled systems ⋮ Triple positive periodic solutions of nonlinear singular second-order boundary value problems ⋮ Existence and multiplicity of positive solutions for a system of fourth-order boundary value problems ⋮ Positive solutions of a weakly singular periodic eco-economic system with changing-sign perturbation ⋮ Positive solutions for a system of generalized Lidstone problems ⋮ Positive periodic solution of second-order coupled systems with singularities ⋮ Positive solutions to singular semipositone boundary value problems of second order coupled differential systems ⋮ Applications of Schauder's fixed point theorem to semipositone singular differential equations

Cites Work

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• Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
• Periodic solutions of second order non-autonomous singular dynamical systems
• Applications of Schauder's fixed point theorem to singular differential equations
• A coupled system of boundary value problems
• A Lyapunov-type stability criterion using $L^\alpha $ norms
• Periodic solutions of singular systems without the strong force condition

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