We obtain an existence theorem of periodic solutions of non-autonomous second order systems with classical theorems of variational calculus.
Saddle point characterization and multiplicity of periodic solutions of non-autonomous second-order systems
โ Scribed by Xian Wu
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 203 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
โฆ Synopsis
In the present paper, the non-autonomous second-order systems
๐ SIMILAR VOLUMES
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.
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.
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.