Infinitely many rotating periodic solutions for suplinear second-order impulsive Hamiltonian systems

DOI10.1016/j.aml.2018.08.026zbMath1406.37047OpenAlexW2891493190MaRDI QIDQ1726539

Tengfei Shen, Wenbin Liu

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.08.026

zbMATH Keywords

Hamiltonian systemFountain theoremimpulsive effectrotating periodic solution

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37)

Related Items

Existence of solutions for a class of second-order boundary value problems ⋮ Infinitely many rotating periodic solutions for damped vibration systems ⋮ Existence of nontrivial rotating periodic solutions for second-order Hamiltonian systems ⋮ Affine-periodic solutions for impulsive differential systems ⋮ Notes on multiple periodic solutions for second order Hamiltonian systems ⋮ Infinitely many rotating periodic solutions for local superquadratic damped Hamiltonian systems with sublinear impulsive effects

Cites Work

• Unnamed Item
• Rotating periodic solutions of second order dissipative dynamical systems
• Three solutions for a p-Laplacian boundary value problem with impulsive effects
• Infinitely many solutions for second-order Hamiltonian system with impulsive effects
• Variational approach to impulsive differential equations
• An application of variational methods to Dirichlet boundary value problem with impulses
• On a class of damped vibration problems with super-quadratic potentials
• Critical point theory and Hamiltonian systems
• Maximum principles for periodic impulsive first order problems
• Periodic solutions of a neutral impulsive predator-prey model with Beddington-DeAngelis functional response with delays
• On pulse vaccination strategy in the SIR epidemic model with vertical transmission
• Existence of solutions for a class of second-order Hamiltonian systems with impulsive effects
• New Super-quadratic Conditions on Ground State Solutions for Superlinear Schrödinger Equation
• Rotating periodic solutions for asymptotically linear second-order Hamiltonian systems with resonance at infinity
• APPLICATIONS OF VARIATIONAL METHODS TO BOUNDARY-VALUE PROBLEM FOR IMPULSIVE DIFFERENTIAL EQUATIONS
• Infinitely many solutions of a symmetric Dirichlet problem
• Rotating periodic solutions for second‐order dynamical systems with singularities of repulsive type
• Multiple nonnegative solutions for second order impulsive differential equations.