A. V. Zaborskiy, A. V. Nesterov, “The asymptotic decomposition of solution of singularly perturbed differential and operational equation in the critical case”, Mat. Model., 2014, Volume 26, Number 4,Pages <nobr>65

This article is cited in 2 papers

The asymptotic decomposition of solution of singularly perturbed differential and operational equation in the critical case

A. V. Zaborskiy^ab, A. V. Nesterov^ab

^a State Budget Educational Institution of Higher Professional Education "Moscow City Pedagogical University"
^b Obninsk Institute for Nuclear Power Engineering – Branch of Federal State Higher Education "National Research Nuclear University MEPhI"

Abstract: Formal asymptotic decomposition on small parameter of solution for initial task for singularly perturbed differential and operator equation in critical case is constructed. Estimates of functions of splash and boundary functions are found, assessment of residual member of decomposition is received.

Keywords: asymptotic decomposition of solution, small parameter, singularly perturbations, differential and operator equations, initial task, critical case, modified method of boundary functions.

UDC: 11.02.2013

Received: 11.02.2013