Homoclinic orbits for second order \(p\) -Laplacian difference equations conta
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- 作者：Haiping Shi ; Xia Liu ; Yuanbiao Zhang
- 关键词：Homoclinic orbits ; Second order ; \(p\) ; Laplacian difference equations ; Discrete variational methods ; Advance and retardation
- 刊名：Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
- 出版年：2016
- 出版时间：March 2016
- 年：2016
- 卷：110
- 期：1
- 页码：65-78
- 全文大小：435 KB
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Xia Liu (2) (3)
Yuanbiao Zhang (4)
1. Modern Business and Management Department, Guangdong Construction Vocational Technology Institute, Guangzhou, 510440, China
2. Oriental Science and Technology College, Hunan Agricultural University, Changsha, 410128, China
3. Science College, Hunan gricultural University, Changsha, 410128, China
4. Packaging Engineering Institute, Jinan University, Zhuhai, 519070, China - 刊物类别：Mathematics and Statistics
- 出版者：Springer Milan
- ISSN：1579-1505
文摘
Using the critical point theory, we obtain the existence of a nontrivial homoclinic orbit for second order \(p\)-Laplacian difference equations containing both advance and retardation. The proof is based on the Mountain Pass Lemma in combination with periodic approximations. One of our results generalizes and improves the results in the literature.