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Homoclinic orbits and subharmonics for nonlinear second order difference equations

โœ Scribed by Manjun ma; Zhiming Guo

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
235 KB
Volume
67
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

We show the existence of a nontrivial homoclinic orbit and subharmonic solutions for a class of second order difference equations by applying the "Mountain Pass" theorem relying on Ekeland's variational principle and the diagonal method, and the homoclinic orbit as the limit of the subharmonics. A completely new way is provided for dealing with the existence of solutions for difference equations.

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