Periodic solutions of semilinear Duffing equations with impulsive effects

DOI10.1016/j.jmaa.2018.07.008zbMath1451.34050arXiv1705.08778OpenAlexW2963581402MaRDI QIDQ1659302

Xiong Li, Yanmin Niu

Publication date: 15 August 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08778

zbMATH Keywords

periodic solutionsimpulsive differential equationsPoincaré-Birkhoff twist theorem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Dynamical aspects of twist maps (37E40)

Related Items (5)

Stochastic periodic solution and persistence of a nonautonomous impulsive system with nonlinear self-interaction ⋮ Existence and uniqueness of periodic solution to second‐order impulsive differential equations ⋮ Periodic solutions of discontinuous Duffing equations ⋮ Lagrange stability for impulsive pendulum-type equations ⋮ Periodic solutions of superlinear and sublinear state-dependent discontinuous differential equations

Cites Work

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• Applications of the Poincaré-Birkhoff theorem to impulsive Duffing equations at resonance
• Infinitely many solutions for second-order Hamiltonian system with impulsive effects
• On periodic solutions of sublinear Duffing equations
• Variational approach to impulsive differential equations
• Periodic solutions of Duffing's equations with superquadratic potential
• Periodic solutions for ordinary differential equations with sublinear impulsive effects
• Periodic solutions of x+f(x,t)=0 via the Poincaré-Birkhoff theorem
• Impulsive resonance periodic problems of first order
• Periodic solutions of superlinear impulsive differential equations: a geometric approach
• Bounded perturbations of forced harmonic oscillators at resonance
• A continuation approach to superlinear periodic boundary value problems
• Existence of forced oscillations for some nonlinear differential equations
• Multiple Solutions of Perturbed Superquadratic Second Order Hamiltonian Systems
• Continuation Theorems for Periodic Perturbations of Autonomous Systems
• An Infinite Class of Periodic Solutions of Periodically Perturbed Duffing Equations at Resonance
• Multiplicity results for periodic solutions of second order ODEs with asymmetric nonlinearities
• Some remarks on the Poincaré-Birkhoff theorem
• Periodic Motions of Linear Impact Oscillators via the Successor Map
• A Generalization of the Poincare-Birkhoff Theorem
• Infinity of subharmonics for asymmetric Duffing equations with the Lazer-Leach-Dancer condition
• Sublinear impulse effects and solvability of boundary value problems for differential equations with impulses

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