Existence of periodic solutions for secondorder nonlinear difference equations
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 secondorder 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 secondorder nonlinear difference
equations. One of our results obtained complements the result in the literature.
Keywords
 Existence
 periodic solutions
 secondorder
 nonlinear difference equations
 discrete variational theory.
MSC
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