Title
Infinitely many solutions for second-order Hamiltonian system with impulsive effects
Abstract
In this paper, we study the existence of infinitely many solutions for a class of second-order impulsive Hamiltonian systems. By using the variational methods, we give some new criteria to guarantee that the impulsive Hamiltonian systems have infinitely many solutions under the assumptions that the nonlinear term satisfies superquadratics, asymptotically quadratic and subquadratics, respectively. Finally, some examples are presented to illustrate our main results.
Year
DOI
Venue
2011
10.1016/j.mcm.2011.02.044
Mathematical and Computer Modelling
Keywords
Field
DocType
critical points,impulsive hamiltonian system,variational method,hamiltonian systems,asymptotically quadratic,second-order hamiltonian system,impulsive effects,nonlinear term,impulsive effect,second-order impulsive hamiltonian system,main result,variational methods,new criterion,hamiltonian system,second order,satisfiability,critical point
Applied mathematics,Nonlinear system,Hamiltonian (quantum mechanics),Mathematical analysis,Calculus of variations,Quadratic equation,Hamiltonian system,Critical point (thermodynamics),Critical point (mathematics),Numerical analysis,Mathematics,Calculus
Journal
Volume
Issue
ISSN
54
1-2
Mathematical and Computer Modelling
Citations 
PageRank 
References 
5
0.93
4
Authors
3
Name
Order
Citations
PageRank
Juntao Sun182.01
Haibo Chen21749123.40
Juan J. Nieto355981.45