A Class of Singularly Perturbed Equations with Discontinuous Right-Hand Side in the Critical Case

摘要

In this paper, we investigate a class of singularly perturbed equations with discontinuous right-hand side in the critical case. An asymptotic expansion of a contrast structure solution for the system is contrasted. Moreover, results for existence of the solution and estimations of remainders are presented. Finally, an example is provided to verify the theoretical results.

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