Periodic Solutions of Non-autonomous Second Order Systems
โ Scribed by Chunlei Tang
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 90 KB
- Volume
- 202
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
We obtain an existence theorem of periodic solutions of non-autonomous second order systems with classical theorems of variational calculus.
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.
The existence and multiplicity of periodic solutions are obtained for the nonau-ลฝ . tonomous second order systems with locally coercive potential; that is, F t, x ยช < < w x qฯฑ as x ยช ฯฑ for a.e. t in some positive-measure subset of 0, T , by using an analogy of Egorov's Theorem, the properties of sub