两种群竞争非线性反应扩散系统奇摄动Robin问题  

Nonlinear singularly perturbed Robin problems for reaction diffusion system of two-species competition

作　　者：王庚[1] 

机构地区：[1]南京财经大学统计系,南京210046

出　　处：《哈尔滨工业大学学报》2009年第3期196-197,249,共3页Journal of Harbin Institute of Technology

基　　金：国家自然科学基金资助项目(70471071)

摘　　要：研究了一类生物数学中新的非线性两种群竞争反应扩散系统奇摄动Rob in问题,在适当的假设下,对此问题解的存在性及渐近性态作了较深入的讨论,利用伸长变量构造了问题解的形式展开式,并用微分不等式理论,证明了问题解渐近展开式的一致有效性.A class of new nonlinear singularly perturbed Robin initial boundary value problems for reaction diffusion systems of two-species competition are considered. Under suitable assumptions, the formal asymptotic expansion for these problems is constructed using the stretched variable. And the uniform validity of the solution for initial boundary value problems is proved using the theory of differential inequalities.

关 键 词：非线性 两种群竞争系统 反应扩散 奇摄动 ROBIN问题 

分 类 号：O175.29[理学—数学]