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Homoclinic orbits and subharmonics for second orderp-Laplacian difference equations

โœ Scribed by Xia Liu, Yuanbiao Zhang, Haiping Shi

Book ID
120955520
Publisher
Springer-Verlag
Year
2013
Tongue
English
Weight
472 KB
Volume
43
Category
Article
ISSN
1598-5865

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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