Asymptotic Solutions of Singular Perturbed Problems with an Instable Spectrum of the Limiting Operator-Reference-Cited by-同舟云学术

Asymptotic Solutions of Singular Perturbed Problems with an Instable Spectrum of the Limiting Operator

Published:2012 Issue: Volume:2012 Page:1-16
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Kalimbetov Burkhan T.¹,Temirbekov Marat A.¹,Khabibullayev Zhanibek O.¹

Affiliation:

1. Department of Mathematics, A. Yasawi International Kazakh-Turkish University, Turkestan 161200, Kazakhstan

Abstract

The regularization method is applied for the construction of algorithm for an asymptotical solution for linear singular perturbed systems with the irreversible limit operator. The main idea of this method is based on the analysis of dual singular points of investigated equations and passage in the space of the larger dimension, what reduces to study of systems of first-order partial differential equations with incomplete initial data.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/120192.pdf

Reference19 articles.

1. Translations of Mathematical Monographs,1992

2. Matched Expansion Solutions of the First-Order Turning Point Problem

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