Solution with an internal transition layer for a singularly perturbed second-order equation with an advancing and a retarded argument

Mingkang Ni,I S Guseva

doi:10.1134/s0012266114060044

Solution with an internal transition layer for a singularly perturbed second-order equation with an advancing and a retarded argument

Mingkang Ni, I S Guseva

https://doi.org/10.1134/s0012266114060044

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Publication Date: Jun 1, 2014

Affiliation: East China Normal University

#Method Of Boundary Functions #Internal Transition Layer + Show 8 more

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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.

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