| 时间测度上具有时滞的非线性食饵-竞争系统的周期解 |
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| 引用本文： | 鲁红英.时间测度上具有时滞的非线性食饵-竞争系统的周期解[J].内蒙古大学学报(自然科学版),2011,42(3):247-252. |
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| 作者姓名： | 鲁红英 |
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| 作者单位： | 东北财经大学数学与数量经济学院,辽宁大连,116025 |
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| 基金项目： | 国家自然科学基金资助项目(70901016); 辽宁省高等学校优秀人才支持计划(2008RC15); 科技部创新方法专项资助项目(No.2009IM010400-1-39) |
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| 摘 要： | 在时间测度上研究了具有时滞的非线性食饵-竞争系统,利用重合度理论中的延拓定理讨论了此系统周期解的存在性问题,得到了保证周期解存在的充分条件,从而使这一类系统的连续与离散情形即相应的微分方程和差分方程的周期解存在性问题得到了统一研究.
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| 关 键 词： | 时间测度 非线性 时滞 周期解 重合度 |
Periodic Solution for a Delayed Nonlinear Prey-Competition System on Time Scales |
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| LU Hong-ying.Periodic Solution for a Delayed Nonlinear Prey-Competition System on Time Scales[J].Acta Scientiarum Naturalium Universitatis Neimongol,2011,42(3):247-252. |
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| Authors: | LU Hong-ying |
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| Institution: | LU Hong-ying(School of Mathematics and Quantitative Economics,Dongbei University of Finance and Economics,Dalian 116025,China) |
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| Abstract: | The existence of periodic solutions of a nonlinear prey-competition system with delays on time scales is explored.Based on the continuation theorem of coincidence degree,a set of sufficient conditions ensuring the existence of positive periodic solutions of the system are obtained.Therefore,the study of periodic solutions for the continuous differential equations and discrete difference equations are unified. |
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| Keywords: | time scale nonlinear delay periodic solution coincidence degree |
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