Subharmonic solutions with prescribed minimal period for some second-order impulsive differential equations

DOI10.1016/j.na.2011.10.023zbMath1248.34011OpenAlexW2024663655MaRDI QIDQ412688

Yan-Li Xu, Jing Xiao, Zhi-guo Luo

Publication date: 4 May 2012

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.2011.10.023

zbMATH Keywords

variational methodscritical point theoryimpulsive differential equationsminimal periodsubharmonic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational principles in infinite-dimensional spaces (58E30)

Related Items (8)

Subharmonic solutions with prescribed minimal period of a forced pendulum equation with impulses ⋮ Existence and multiplicity of weak solutions for a nonlinear impulsive \((q,p)\)-Laplacian dynamical system ⋮ Existence of nontrivial weak homoclinic orbits for second-order impulsive differential equations ⋮ Subharmonic solutions with prescribed minimal periodic for a class of second-order impulsive functional differential equations ⋮ Existence and multiplicity of fast homoclinic solutions for a class of damped vibration problems with impulsive effects ⋮ Existence of homoclinic solutions for a class of second order \(p\)-Laplacian systems with impulsive effects ⋮ Solutions and nonnegative solutions for a weighted variable exponent impulsive integro-differential system with multi-point and integral mixed boundary value problems ⋮ Subharmonic solutions for a class of second-order impulsive Lagrangian systems with damped term

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Variational approach to some damped Dirichlet nonlinear impulsive differential equations
• Homoclinic orbits for a class of first-order nonperiodic asymptotically quadratic Hamiltonian systems with spectrum point zero
• Homoclinic solutions for a class of subquadratic second-order Hamiltonian systems
• Variational approach to impulsive differential equations
• Boundary value problems for a class of impulsive functional equations
• Subharmonic solutions with prescribed minimal period of a class of nonautonomous Hamiltonian systems
• The multiplicity of solutions for perturbed second-order Hamiltonian systems with impulsive effects
• New results for the periodic boundary value problem for impulsive integro-differential equations
• The minimal period problem for the classical forced pendulum equation
• Variational methods to Sturm-Liouville boundary value problem for impulsive differential equations
• Critical point theory and Hamiltonian systems
• Impulsive controllability of linear dynamical systems with applications to maneuvers of spacecraft
• Subharmonic solutions to second-order differential equations with periodic nonlinearities
• Dynamic analysis of Michaelis-Menten chemostat-type competition models with time delay and pulse in a polluted environment
• Periodic boundary value problem for non-Lipschitzian impulsive functional differential equations
• Ideality criterion for unilateral constraints in time-dependent impulsive mechanics
• APPLICATIONS OF VARIATIONAL METHODS TO BOUNDARY-VALUE PROBLEM FOR IMPULSIVE DIFFERENTIAL EQUATIONS
• Subharmonic oscillations with prescribed minimal period for a class of hamiltonian systems

This page was built for publication: Subharmonic solutions with prescribed minimal period for some second-order impulsive differential equations