On periodic solutions of two-dimensional nonautonomous differential systems

DOI10.1016/J.NA.2004.07.053zbMath1069.34062OpenAlexW2000415698MaRDI QIDQ707221

I. T. Kiguradze, Sulkhan Mukhigulashvili

Publication date: 9 February 2005

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.2004.07.053

zbMATH Keywords

periodic solutionsdifferential equationstwo-dimensional nonautonomous periodic systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Linear ordinary differential equations and systems (34A30)

Related Items (8)

On two numerical-analytic methods for the investigation of periodic solutions ⋮ On nonseparated three-point boundary value problems for linear functional differential equations ⋮ A combined variational-topological approach for dispersion-managed solitons in optical fibers ⋮ On the solvability of perturbations of linear boundary value problems at resonance for functional differential equations ⋮ Solvability of a periodic boundary-value problem for systems of functional differential equations with cyclic matrices ⋮ A tribute to Ivan Kiguradze ⋮ On the existence of two nontrivial solutions of periodic problems with operators of \(p\)-Laplacian type ⋮ Periodic solutions of the second-order neutral functional differential systems with operator varying in time and delays

Cites Work

• Stability and periodic solutions of ordinary and functional differential equations
• Periodic solutions of systems of nonautonomous ordinary differential equations
• Periodic solutions of higher order systems
• Boundary-value problems for systems of ordinary differential equations
• Stability theory and the existence of periodic solutions and almost periodic solutions
• Ordinary differential equations with nonlinear boundary conditions
• Periodic solutions of nonlinear differential equations
• Continuation Theorems for Periodic Perturbations of Autonomous Systems
• The Operator of Translation Along the Trajectories of Differential Equations
• Sur les solutions périodiques des équations différentielles ordinaires
• Periodic solutions for differential systems of cyclic feedback type
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