We obtain an existence theorem of periodic solutions of non-autonomous second order systems with classical theorems of variational calculus.
Periodic solution of a second order, autonomous, nonlinear system
โ Scribed by E. Esmailzadeh; B. Mehri; G. Nakhaie-Jazar
- Publisher
- Springer Netherlands
- Year
- 1996
- Tongue
- English
- Weight
- 507 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0924-090X
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โฆ Synopsis
There exist a sufficient condition for the existence of at least one periodic solution for a type of second order autonomous ordinary differential equations. The correctness of the condition has been pointed out by Schauder's fixed point theorem. In order to indicate the validity of the assumptions made, two illustrative examples, showing its application in the nonlinear vibration and relaxation oscillation are presented.
๐ SIMILAR VOLUMES
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.
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.