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Solution with an internal transition layer for a singularly perturbed second-order equation with an advancing and a retarded argument
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Abstract
We consider a singularly perturbed boundary value problem for a differential equation with a retarded and a deviating argument. By using the method of boundary functions and the sewing method, we find not only a continuous but also a smooth solution of the problem. We prove the existence of a solution with an internal transition layer. A graphical numerical example is presented.[PUBLICATION ABSTRACT]
