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Internal layers for a quasi-linear singularly perturbed delay differential equation
Tao Feng,Kang Ming Ni
Keywords:Delay, internal layers, boundary layer functions, contrast structures, asymptotic expansion.
Abstract:
      The current paper is mainly concerned with the internal layers for a quasi--linear singularly perturbed differential equation with time delays. By using the method of boundary layer functions and the theory of contrast structures, the existence of a uniformly valid smooth solution is proved, and the asymptotic expansion is constructed. As an application, a concrete example is presented to demonstrate the effectiveness of our result.