Periodic and homoclinic solutions generated by impulses

DOI10.1016/j.nonrwa.2010.05.034zbMath1225.34019OpenAlexW2045242454MaRDI QIDQ611216

Hao Zhang, Zhi Xiang Li

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.05.034

zbMATH Keywords

periodic solutioncritical pointimpulsive differential equationhomoclinic solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Cites Work

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• A variational approach to homoclinic orbits in Hamiltonian systems
• Variational approach to impulsive differential equations
• On the solvability of periodic boundary value problems with impulse
• Variational approach to impulsive differential equations with periodic boundary conditions
• An application of variational methods to Dirichlet boundary value problem with impulses
• Basic theory for nonresonance impulsive periodic problems of first order
• Periodic solutions for ordinary differential equations with sublinear impulsive effects
• Periodic boundary value problems for first-order impulsive ordinary differential equations
• Periodic boundary value problem for non-Lipschitzian impulsive functional differential equations
• Homoclinic solutions for a class of the second order Hamiltonian systems
• Homoclinic solutions for nonautonomous second order Hamiltonian systems with a coercive potential
• Chaotic Behaviour in Simple Dynamical Systems
• Stable and Random Motions in Dynamical Systems
• APPLICATIONS OF VARIATIONAL METHODS TO BOUNDARY-VALUE PROBLEM FOR IMPULSIVE DIFFERENTIAL EQUATIONS
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Impulsive periodic solutions of first-order singular differential equations
• Homoclinic orbits for a class of Hamiltonian systems
• Existence of infinitely many homoclinic orbits in Hamiltonian systems
• Periodic boundary value problems for second-order impulsive integro-differential equations