This paper deals with the existence of homoclinic solutions for the following second order non-autonomous Hamiltonian system where is not globally superquadratic on q and some additionally reasonable assumptions, we give a new existence result to guarantee that (HS) has a homoclinic solution q(t)
Homoclinic solutions of some second order non-autonomous systems
โ Scribed by Ziheng Zhang; Rong Yuan
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 557 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
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.
We obtain an existence theorem of periodic solutions of non-autonomous second order systems with classical theorems of variational calculus.
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.