一类具有脉冲的积分微分方程系统的正周期解

【作者】 张伟鹏；

【导师】 范猛；

【作者基本信息】 东北师范大学 ， 应用数学， 2004， 硕士

【摘要】 本文利用重合度理论中的连续性定理研究了一类具有无限时滞的脉冲积分微分方程所描述的多物种生态竞争系统 正周期解的存在性，建立存在正周期解的充分性判据，推广并改进了文献中已有的相关结果。 本文内容具体安排如下：第一章简要地阐述了所研究问题的历史背景及目前研究现状；第二章证明本文的主要结果，建立所研究系统存在正周期的充分性判据；并将主要结果应用到一些更为具体的具有脉冲作用的生态竞争系统，研究表明本文的结果更为广泛，推广并改进了文献中已有的相关结果。更多还原

【Abstract】 The principle aim of this paper is to explore the existence of positive periodic solutions of a generalized ecological competition systems governed by impulsive intergro-differential equation with infinite delays.Easily verifiable sufficient criteria are established. The main results , which improve and generalize some known results in the literature.The tree of this paper is the following. Chapter one focuses on the background of the problem being investigated. Chapter two establishes easily verifiable sufficient criteria for the existence of positive periodic solutions of the generalized ecological competition system with impulse and infinite delay. In this chapter, applications to some famous competition models are also presented. The investigation shows that this result is more extensive and improves some results studied in the literature.更多还原