Existence theorems of periodic solutions for second-order difference equations containing both advance and retardation
- Authors: Yuan S.1, Shi H.2, Yang L.1, Zhang Y.3
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Affiliations:
- School of Mathematical and Computer Science
- Guangdong Construction Vocational Technology Institute
- Packaging Engineering Institute
- Issue: Vol 51, No 2 (2016)
- Pages: 58-67
- Section: Differential Equations
- URL: https://journals.rcsi.science/1068-3623/article/view/227894
- DOI: https://doi.org/10.3103/S1068362316020023
- ID: 227894
Cite item
Abstract
Using the critical point method, the existence of periodic solutions for second-order nonlinear difference equations containing both advance and retardation is established. The proof is based on the Saddle Point Theorem in combination with variational technique.
About the authors
S. Yuan
School of Mathematical and Computer Science
Email: ycumath@163.com
China, Yichun
H. Shi
Guangdong Construction Vocational Technology Institute
Email: ycumath@163.com
China, Guangzhou
L. Yang
School of Mathematical and Computer Science
Author for correspondence.
Email: ycumath@163.com
China, Yichun
Y. Zhang
Packaging Engineering Institute
Email: ycumath@163.com
China, Zhuhai