| 一类具有脉冲的中立型时滞微分方程正周期解的存在性 |
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| 引用本文： | 盛洁波,陈福来.一类具有脉冲的中立型时滞微分方程正周期解的存在性[J].安徽师范大学学报(自然科学版),2010,33(2):116-120,135. |
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| 作者姓名： | 盛洁波 陈福来 |
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| 作者单位： | 湖南工学院,基础课教学部,湖南,衡阳,421002;湘南学院,数学系,湖南,郴州,423000 |
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| 基金项目： | 湖南省教育厅科学技术项目，湖南工学院科研项目 |
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| 摘 要： | 一个实际生态系统,常受到周围环境变化以及人类活动的影响,因而在生态系统建模中应该考虑脉冲的存在.现有的研究过多局限在具有常时滞的周期系统的中立型泛函微分方程,对具有脉冲的中立型时滞微分方程模型研究较少.本文利用重合度理论,研究了一类具有脉冲的中立型时滞微分方程模型,得到了其周期解存在的充分条件.
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| 关 键 词： | 中立型 时滞 脉冲 周期解 重合度理论 |
Existence of Positive Periodic Solutions for a Class of Neutral Delay Model with Impulses |
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| SHENG Jie-bo,CHEN Fu-lai.Existence of Positive Periodic Solutions for a Class of Neutral Delay Model with Impulses[J].Journal of Anhui Normal University(Natural Science Edition),2010,33(2):116-120,135. |
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| Authors: | SHENG Jie-bo CHEN Fu-lai |
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| Institution: | SHENG Jie-bo1,CHEN Fu-lai2(1.Basic Course Teaching Department,Hunan Institute of Technology,Hengyang 421002,China,2.Department of Mathematics,Xiangnan University,Chenzhou 423000,China) |
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| Abstract: | The ecological system is often affected by environmental changes and other human activities,so the existence of impulses must be considered in the ecological system model.Most of the recorded research deal with the system without impulse,rarely with impulse.By means of theory of coincidence degree,a sufficient condition for the existence of positive periodic solutions to certain neutral delay model with impulses is obtained. |
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| Keywords: | neutral type delay impulse periodic solution coincidence degree theory |
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