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Periodic solutions of partially superquadratic second order Hamiltonian systems

โœ Scribed by Mei-Yue Jiang


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
176 KB
Volume
64
Category
Article
ISSN
0362-546X

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โœฆ Synopsis


We consider the periodic solutions of the Hamiltonian system

with V being superquadratic in some directions at infinity. Some theorems on periodic solutions for superquadratic V are generalized.


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In this paper, we study the existence of periodic solutions of some non-autonomous second order Hamiltonian systems We obtain some new existence theorems by the least action principle.