Marchuk模型周期解和概周期解的存在性与稳定性(英文)  

Existence and Stability of Periodic and Almost Periodic Solutions of Marchuk's Model with Diffusion

作　　者：肖莉[1] 崔诚[1] 王晓[1] 刘安平[1] 

机构地区：[1]中国地质大学数学与物理学院,湖北武汉430074

出　　处：《应用数学》2012年第3期553-559,共7页Mathematica Applicata

基　　金：Supported by the Fundamental Research Funds for the Central Universities (CUG090112);the National Basic Research Program of China(2011CB710602,2011CB710604)

摘　　要：本文讨论具有时滞和扩散的Marchuk模型.根据模型参数求出了模型方程的上、下解,利用单调方法和Liapunov函数分别证明了周期解和概周期解的存在性及其稳定性.Marchuk＇s model with time delays and diffusion is discussed in this paper. Since the pa- rameters of the model which satisfy some conditions, the upper-lower solutions of this model equa- tions are obtained. The existence and stability of periodic solution and almost periodic solutions are investigated by using monotone iterative method and Liapunov＇s function, respectively.

关 键 词：Marchuk模型 上、下解 周期解 概周期解 稳定性 

分 类 号：O175.2[理学—数学]