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Existence of homoclinic orbits in discrete Hamiltonian systems without Palais–Smale condition

✍ Scribed by Chen, Peng

Book ID
121356244
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
165 KB
Volume
19
Category
Article
ISSN
1023-6198

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## Abstract We consider the Hamiltonian system in IR^__N__^ given by where __V__ : IR^__N__^ rarr; IR is a smooth potential having a non degenerate local maximum at 0 and we assume that there is an open bounded neighborhood ft of 0 such that V(__x__) < __V__(0) for __x__ δ Ω / {0}, __V(x)__ = __V