New results for perturbed Hamiltonian systems with impulses

DOI10.1016/j.amc.2012.03.038zbMath1388.34017OpenAlexW2081352011MaRDI QIDQ440905

Huiwen Chen, Zhi Min He

Publication date: 19 August 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.03.038

zbMATH Keywords

impulsesvariational methodsHamiltonian systemscritical points

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (9)

Perturbed nonlocal fourth order equations of Kirchhoff type with Navier boundary conditions ⋮ Multiplicity of solutions for impulsive differential equation on the half-line via variational methods ⋮ Multiple solutions for a class of \(p\)-Laplacian type fractional boundary value problems with instantaneous and non-instantaneous impulses ⋮ Unnamed Item ⋮ Infinitely many homoclinic solutions for a class of second-order Hamiltonian systems ⋮ Infinitely many periodic solutions to a class of perturbed second-order impulsive Hamiltonian systems ⋮ Existence results for impulsive damped vibration systems ⋮ Unnamed Item ⋮ Critical point approaches to Gradient-Type systems on the Sierpiński Gasket

Cites Work

• Unnamed Item
• Infinitely many homoclinic solutions for second-order Hamiltonian systems with odd nonlinearities
• Infinitely many solutions for second-order Hamiltonian system with impulsive effects
• A variational approach to homoclinic orbits in Hamiltonian systems
• Three periodic solutions for perturbed second order Hamiltonian systems
• The multiplicity of solutions for perturbed second-order Hamiltonian systems with impulsive effects
• A three critical points theorem revisited
• Infinitely many homoclinic orbits for the second-order Hamiltonian systems with super-quadratic potentials
• A further three critical points theorem
• Multiple periodic solutions for Hamiltonian systems with not coercive potential
• Infinitely many homoclinic solutions for second order Hamiltonian systems
• Some remarks on a three critical points theorem
• Homoclinic solutions for a class of the second order Hamiltonian systems
• Infinitely many solutions for Hamiltonian systems
• Homoclinic orbits for a class of Hamiltonian systems

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