含有双参数的非局部反应扩散方程的奇摄动问题

摘要

The problem of two small parameters in ordinary differential equations were extended to that in partial differential equations.The initial boundary problem for the singularly perturbed non-local reaction-diffusion equation was solved. Under suitable conditions,the formal asymptotic solutions were constructed using the method of two-step expansions and the uniform validity of the solutions was proved using the differential inequality.