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 Sun | 1 | 8 | 2.01 |
Haibo Chen | 2 | 1749 | 123.40 |
Juan J. Nieto | 3 | 559 | 81.45 |