Homoclinic solutions for second order discrete p-Laplacian systems
نویسندگان
چکیده
* Correspondence: hxfcsu@sina. com Department of Mathematics and Computer Science Jishou University, Jishou, Hunan 416000, P. R. China Full list of author information is available at the end of the article Abstract Some new existence theorems for homoclinic solutions are obtained for a class of second-order discrete p-Laplacian systems by critical point theory, a homoclinic orbit is obtained as a limit of 2kT-periodic solutions of a certain sequence of the secondorder difference systems. A completely new and effective way is provided for dealing with the existence of solutions for discrete p-Laplacian systems, which is different from the previous study and generalize the results. 2010 Mathematics Subject Classification: 34C37; 58E05; 70H05.
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