Existence and multiplicity of periodic solutions for nonautonomous second order systems
โ Scribed by Chun-Lei Tang
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 226 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
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 โW is asymptotically linear at infinity, and the existence of infinitely many periodic solutions is also obtained when โW i
In the present paper, the non-autonomous second order Hamiltonian systems are studied and a new existence theorem and a new multiplicity theorem of periodic solutions are obtained.
The least action principle The Saddle Point Theorem a b s t r a c t Some existence theorems are obtained for periodic solutions of nonautonomous secondorder differential systems with (q, p)-Laplacian by using the least action principle and the minimax methods.