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Homoclinic solutions for nonautonomous second-order Hamiltonian systems with a coercive potential

โœ Scribed by Xiang Lv; Shiping Lu; Ping Yan


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
431 KB
Volume
72
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES


Periodic solutions of nonautonomous seco
โœ Xing-Ping Wu; Chun-Lei Tang ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 218 KB

Some existence and multiplicity theorems are obtained for periodic solutions of nonautonomous second-order Hamiltonian systems with even-typed potentials by the least action principle and the minimax methods in critical point theory.

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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