Periodic solutions of some non-autonomous second order Hamiltonian systems
โ Scribed by Rigao Yang
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 189 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0362-546X
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โฆ Synopsis
In this paper, we study the existence of periodic solutions of some non-autonomous second order Hamiltonian systems
We obtain some new existence theorems by the least action principle.
๐ SIMILAR VOLUMES
We obtain an existence theorem of periodic solutions of non-autonomous second order systems with classical theorems of variational calculus.
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.
Some existence theorems are obtained by the least action principle for periodic solutions of nonautonomous second-order systems with a potential which is the sum of a subconvex function and a subquadratic function.