Existence of periodic solutions for second-order nonlinear difference equations
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2005
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Authors
Zhiguo Ren
- Department of Information Engineering, Jieyang Vocational and Technical College, Jieyang 522000, China.
Jie Li
- Quality Control Office, Zhongshan Torch College, Zhongshan 528436, China.
Haiping Shi
- Modern Business and Management Department, Guangdong Construction Vocational Technology Institute, Guangzhou 510440, China.
Abstract
By using the critical point method, the existence of periodic solutions for second-order nonlinear difference equations is obtained. The proof is based on the Saddle Point Theorem in combination with variational
technique. The problem is to solve the existence of periodic solutions of second-order nonlinear difference
equations. One of our results obtained complements the result in the literature.
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ISRP Style
Zhiguo Ren, Jie Li, Haiping Shi, Existence of periodic solutions for second-order nonlinear difference equations, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 4, 1505--1514
AMA Style
Ren Zhiguo, Li Jie, Shi Haiping, Existence of periodic solutions for second-order nonlinear difference equations. J. Nonlinear Sci. Appl. (2016); 9(4):1505--1514
Chicago/Turabian Style
Ren, Zhiguo, Li, Jie, Shi, Haiping. "Existence of periodic solutions for second-order nonlinear difference equations." Journal of Nonlinear Sciences and Applications, 9, no. 4 (2016): 1505--1514
Keywords
- Existence
- periodic solutions
- second-order
- nonlinear difference equations
- discrete variational theory.
MSC
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