ASYMPTOTIC SOLUTION TO SINGULARLY PERTURBED NEUTRAL DIFFERENTIAL DIFFERENCE EQUATIONS
Na Wang (Dept. of Applied Math., Shanghai Institute Technology, Shanghai 201418)
The solvability for a kind of singularly perturbed problem of nonlinear neutral differential difference system is considered. Using the boundary layer corrective method, the formal asymptotic solution is constructed. And applying the theory of fixed point, the uniform validity of the asymptotic expansions for solution is proved. Finally, an example is given to validate the results of the problems.