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Infinitely many solutions for second-order Hamiltonian system with impulsive effects

✍ Scribed by Juntao Sun; Haibo Chen; Juan J. Nieto

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
276 KB
Volume
54
Category
Article
ISSN
0895-7177

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✦ Synopsis

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.

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