Existence of multiple periodic solutions for a class of second order nonlinear difference equations
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The Z_2-group index theory is used to explored the periodic solutions for a class of second-order nonlinear difference equations. We obtain the sufficient conditions responsible for the existence of multiple periodic solutions of this kind of discrete system. The proofs have been presented in detail. Furthermore, an example is given to illustrate the conclusions.
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杨丽丽. 一类二阶非线性差分方程多重周期解的存在性[J]. 科学技术与工程, 2010, (1): . Yang Lili. Existence of multiple periodic solutions for a class of second order nonlinear difference equations[J]. Science Technology and Engineering,2010,(1).