We study an equivalent form of the Dirichlet problem for a quasilinear singularly perturbed second order system, which is a singular singularly perturbed boundary value problem. In this way, we have not only eliminated the usual assumption of the existence of a vector potential function, but also pr
The Minimal Period Problem for Nonconvex Even Second Order Hamiltonian Systems
✍ Scribed by Guihua Fei; Tixiang Wang
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 252 KB
- Volume
- 215
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
In this paper, we study the minimal period problem for even autonomous second order Hamiltonian systems defined on ޒ N without any convexity assumption. By using the variational methods, we obtain estimates on the minimal period of the corresponding nonconstant periodic solution of the superquadratic and asymptotically linear Hamiltonian systems.
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