一类具有脉冲多时滞有限食物种群模型的振动性  

On Oscillation of a Food-limited Population Model with Some Impulses and Delaies

作　　者：王剑杰[1] 

机构地区：[1]山西财经大学应用数学学院,太原030006

出　　处：《太原理工大学学报》2010年第3期312-314,319,共4页Journal of Taiyuan University of Technology

基　　金：山西省自然科学基金资助项目(2008011002-3)

摘　　要：根据自然界和科学技术领域的许多运动,可能具有突变的特点,并用脉冲微分方程来描述和刻画这些运动。在前人研究的基础上,加入脉冲条件,建立脉冲方程与非脉冲方程振动性的等价关系。将方程转化为算子方程,经过一系列处理,利用Schauder不动点定理证明振动性定理。给出多时滞状态下的脉冲模型的振动性定理,进一步发展了有限食物种群模型的振动性理论。In the fields of science and nature, many movement may undergo mutation. Therefore impulse equations including impulse differential equations were used to describe and characterize these changes. In this paper, on the basis of previous research,by adding pulse conditions, the relationship of oscillation between impulse equation was studied. The equation was transformed into operator equation,then, by Schauder＇s fixed-point theorem, the oscillation theorem was proved and the oscillation theorem for the impulse model with more delays was obtained. Our results improved the known ones.

关 键 词：振动性 非振动性 脉冲时滞微分方程 

分 类 号：O175[理学—数学]