| 一类二阶非线性差分方程多重周期解的存在性 |
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| 引用本文： | 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,2010,10(1). |
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| 作者姓名： | 杨丽丽 |
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| 作者单位： | 北京交通职业技术学院,北京,102200 |
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| 基金项目： | 国家自然科学基金(10561004)资助 |
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| 摘 要： | 用Z2群指标理论探讨了一类二阶非线性差分方程多重周期解的存在性,得到了该类差分方程多重周期解存在的充分条件,并给出了详细证明。最后,用一个例子说明了结果的合理性。
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| 关 键 词： | 周期解 非线性差分方程 Z2-群指标理论 |
| 收稿时间： | 9/11/2009 5:31:58 PM |
| 修稿时间： | 9/23/2009 7:50:53 PM |
Existence of multiple periodic solutions for a class of second order nonlinear difference equations |
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| Yang Lili.Existence of multiple periodic solutions for a class of second order nonlinear difference equations[J].Science Technology and Engineering,2010,10(1). |
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| Authors: | Yang Lili |
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| Institution: | Beijing Jiaotong Vocation Technical College/a>;Beijing 102200/a>;P.R.China |
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| Abstract: | The Z2-group index theory is used to explored the periodic solutions for a class of second-order nonlinear difference equations.The sufficient conditions responsible for the existence of multiple periodic solutions of this kind of discrete system are obtained.The proofs are presented in detail.Furthermore,an example is given to illustrate the conclusions. |
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| Keywords: | periodic solution nonlinear difference equations Z2-group index theory |
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