Asymptotic Solutions of Singular Perturbed Problems with an Instable Spectrum of the Limiting Operator
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 s...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/120192 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552152539594752 |
|---|---|
| author | Burkhan T. Kalimbetov Marat A. Temirbekov Zhanibek O. Khabibullayev |
| author_facet | Burkhan T. Kalimbetov Marat A. Temirbekov Zhanibek O. Khabibullayev |
| author_sort | Burkhan T. Kalimbetov |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-36f2acd5d5ef4a4d931300707404d2cc |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-36f2acd5d5ef4a4d931300707404d2cc2025-02-03T05:59:21ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/120192120192Asymptotic Solutions of Singular Perturbed Problems with an Instable Spectrum of the Limiting OperatorBurkhan T. Kalimbetov0Marat A. Temirbekov1Zhanibek O. Khabibullayev2Department of Mathematics, A. Yasawi International Kazakh-Turkish University, Turkestan 161200, KazakhstanDepartment of Mathematics, A. Yasawi International Kazakh-Turkish University, Turkestan 161200, KazakhstanDepartment of Mathematics, A. Yasawi International Kazakh-Turkish University, Turkestan 161200, KazakhstanThe 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.http://dx.doi.org/10.1155/2012/120192 |
| spellingShingle | Burkhan T. Kalimbetov Marat A. Temirbekov Zhanibek O. Khabibullayev Asymptotic Solutions of Singular Perturbed Problems with an Instable Spectrum of the Limiting Operator Abstract and Applied Analysis |
| title | Asymptotic Solutions of Singular Perturbed Problems with an Instable Spectrum of the Limiting Operator |
| title_full | Asymptotic Solutions of Singular Perturbed Problems with an Instable Spectrum of the Limiting Operator |
| title_fullStr | Asymptotic Solutions of Singular Perturbed Problems with an Instable Spectrum of the Limiting Operator |
| title_full_unstemmed | Asymptotic Solutions of Singular Perturbed Problems with an Instable Spectrum of the Limiting Operator |
| title_short | Asymptotic Solutions of Singular Perturbed Problems with an Instable Spectrum of the Limiting Operator |
| title_sort | asymptotic solutions of singular perturbed problems with an instable spectrum of the limiting operator |
| url | http://dx.doi.org/10.1155/2012/120192 |
| work_keys_str_mv | AT burkhantkalimbetov asymptoticsolutionsofsingularperturbedproblemswithaninstablespectrumofthelimitingoperator AT maratatemirbekov asymptoticsolutionsofsingularperturbedproblemswithaninstablespectrumofthelimitingoperator AT zhanibekokhabibullayev asymptoticsolutionsofsingularperturbedproblemswithaninstablespectrumofthelimitingoperator |