Energy method for computing periodic solutions of strongly nonlinear systems (I) — Autonomous systems
✍ Scribed by Li Li
- Publisher
- Springer Netherlands
- Year
- 1996
- Tongue
- English
- Weight
- 1020 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0924-090X
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## Abstract In this paper, we use variational iteration method for strongly nonlinear oscillators. This method is a combination of the traditional variational iteration and variational method. Some examples are given to illustrate the effectiveness and convenience of the method. The obtained result
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