Periodic Solutions of a Second Order Nonlinear System
✍ Scribed by Nguyen Phuong Các
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 225 KB
- Volume
- 214
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
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.
Necessary and sufficient conditions are obtained for the existence of positive solutions of a nonlinear differential equation. Relations between this equation and an advanced type nonlinear differential equation are also discussed. ᮊ 1998 Aca- demic Press y t G t . The solutions vanishing in some ne