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Periodic Solutions of Non-autonomous Second Order Systems

โœ 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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โœฆ Synopsis


We obtain an existence theorem of periodic solutions of non-autonomous second order systems with classical theorems of variational calculus.


๐Ÿ“œ SIMILAR VOLUMES


Periodic Solutions of a Class of Non-aut
โœ Xing-Ping Wu; Chun-Lei Tang ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 73 KB

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.

Periodic Solutions for Second Order Syst
โœ Chun-Lei Tang; Xing-Ping Wu ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 87 KB

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