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The multiplicity of solutions for perturbed second-order Hamiltonian systems with impulsive effects

โœ Scribed by Juntao Sun; Haibo Chen; Juan J. Nieto; Mario Otero-Novoa

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
352 KB
Volume
72
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

Infinitely many solutions for second-ord
Infinitely many solutions for second-order Hamiltonian system with impulsive effects
โœ Juntao Sun; Haibo Chen; Juan J. Nieto ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 276 KB

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

Existence and multiplicity of periodic s
Existence and multiplicity of periodic solutions for a class of second-order Hamiltonian systems
โœ X.H. Tang; Jianchu Jiang ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 335 KB

We study the existence and multiplicity of periodic solutions of the following second-order Hamiltonian system The existence of a nontrivial periodic solution is obtained when โˆ‡W is asymptotically linear at infinity, and the existence of infinitely many periodic solutions is also obtained when โˆ‡W i