Infinitely many periodic solutions to a class of perturbed second-order impulsive Hamiltonian systems

DOI10.7153/dea-09-16zbMath1387.34064OpenAlexW2618579953MaRDI QIDQ4638270

Lingju Kong, Shapour Heidarkhani, John R. Graef

Publication date: 4 May 2018

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-09-16

zbMATH Keywords

periodic solutionsvariational methodscritical point theoryimpulsive systemsperturbed Hamiltonian systemsinfinitely many solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Related Items (8)

Unnamed Item ⋮ Infinitely many weak solutions for a p-triharmonic problem with Navier boundary conditions ⋮ The existence of one solution for impulsive differential equations via variational methods ⋮ Lyapunov inequalities for two-parametric quantum Hamiltonian systems and their applications ⋮ Existence results for impulsive damped vibration systems ⋮ INFINITELY MANY SOLUTIONS FOR NON-AUTONOMOUS SECOND-ORDER SYSTEMS WITH IMPULSIVE EFFECTS ⋮ Unnamed Item ⋮ Index theory for second order linear Hamiltonian systems with \(L^1\) coefficient matrix satisfying generalized periodic boundary value conditions

Cites Work

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• An application of variational method to a class of Dirichlet boundary value problems with impulsive effects
• New results for perturbed Hamiltonian systems with impulses
• Periodic solutions for Hamiltonian systems without Ambrosetti-Rabinowitz condition and spectrum 0
• Infinitely many periodic solutions for second order Hamiltonian systems
• Existence of solutions for nonlinear impulsive differential equations with Dirichlet boundary conditions
• On periodic solutions of non-autonomous second order Hamiltonian systems
• Infinitely many solutions for second-order Hamiltonian system with impulsive effects
• Multiple positive solutions of singular two point boundary value problems for second order impulsive differential equations
• A variational approach to homoclinic orbits in Hamiltonian systems
• Three periodic solutions for perturbed second order Hamiltonian systems
• Variational approach to impulsive differential equations
• Periodic solutions of a class of second order non-autonomous Hamiltonian systems
• The multiplicity of solutions for perturbed second-order Hamiltonian systems with impulsive effects
• The existence and multiplicity of solutions for an impulsive differential equation with two parameters via a variational method
• New existence of periodic solutions for second order non-autonomous Hamiltonian systems
• Periodic solutions of second order non-autonomous Hamiltonian systems with local superquadratic potential
• Infinitely many solutions for a boundary value problem with discontinuous nonlinearities
• Multiple periodic solutions for Hamiltonian systems with not coercive potential
• Critical point theory and Hamiltonian systems
• Maximum principles for periodic impulsive first order problems
• Periodic solutions for second order Hamiltonian systems with impulses via the local linking theorem
• Variational approach to impulsive problems: a survey of recent results
• Three periodic solutions to an eigenvalue problem for a class of second-order Hamiltonian systems
• Periodic solutions for a class of nonautonomous subquadratic second order Hamiltonian systems.
• Periodic solutions of some impulsive Hamiltonian systems with convexity potentials
• A general variational principle and some of its applications
• Infinitely many solutions for systems of Sturm-Liouville boundary value problems
• Periodic and subharmonic solutions for a class of the second-order Hamiltonian systems with impulsive effects
• Solvability of second-order Hamiltonian systems with impulses via variational method
• Periodic solutions for a class of nonautonomous second order Hamiltonian systems
• Multiple periodic solutions for second order systems with changing sign potential
• Multiple positive solutions of Dirichlet boundary value problems for second order impulsive differential equations
• Homoclinic solutions for a class of the second order Hamiltonian systems
• Existence of solutions for a class of second-order Hamiltonian systems with impulsive effects
• Infinitely many solutions for Hamiltonian systems
• Impulsive Differential Inclusions
• Infinitely many solutions for systems of n two-point Kirchhoff-type boundary value problems
• APPLICATIONS OF VARIATIONAL METHODS TO BOUNDARY-VALUE PROBLEM FOR IMPULSIVE DIFFERENTIAL EQUATIONS
• Periodic solutions for nonautonomous second order systems with sublinear nonlinearity
• Periodic Solutions of Hamiltonian Systems
• Nonlinear oscillations for classical Hamiltonian systems with bi-even subquadratic potentials
• Homoclinic orbits for a class of Hamiltonian systems
• Homoclinic solutions for a class of second-order Hamiltonian systems
• Homoclinic solutions for a class of second-order Hamiltonian systems
• Multiple nonnegative solutions for second order impulsive differential equations.

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