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Homoclinic orbits of a class of second-order difference equations

โœ Scribed by Xu Zhang; Yuming Shi


Book ID
119299404
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
312 KB
Volume
396
Category
Article
ISSN
0022-247X

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Homoclinic orbits and subharmonics for n
โœ Manjun ma; Zhiming Guo ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 235 KB

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 c