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Subharmonics for not uniformly coercive Hamiltonian systems

โœ Scribed by Adel Daouas; Mohsen Timoumi

Book ID
103846001
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
186 KB
Volume
66
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

In this paper, we prove the existence of subharmonic solutions with prescribed minimal period for the Hamiltonian system u(t) = J โˆ‡ H (t, u(t)) when the Hamiltonian H is subquadratic with unbounded gradient and not uniformly coercive.

๐Ÿ“œ SIMILAR VOLUMES

Periodic Solutions for Second Order Syst
Periodic Solutions for Second Order Systems with Not Uniformly Coercive Potential
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