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How to Single out Solutions Bounded at a Singular Point for Some Differential-Algebraic Systems

How to Single out Solutions Bounded at a Singular Point for Some Differential-Algebraic Systems Differential Equations, Vol. 40, No. 7, 2004, pp. 954–958. Translated from Differentsial'nye Uravneniya, Vol. 40, No. 7, 2004, pp. 893–897. Original Russian Text Copyright c 2004 by Abramov, Ul'yanova, Yukhno. NUMERICAL METHODS How to Single out Solutions Bounded at a Singular Point for Some Di erential-Algebraic Systems A. A. Abramov, V. I. Ul'yanova, and L. F. Yukhno Computational Center, Russian Academy of Sciences, Moscow, Russia Institute for Mathematical Modelling, Russian Academy of Sciences, Moscow, Russia Received February 6, 2004 Dedicated to Academician A.A. Samarskii on the occasion of his eighty- fth birthday INTRODUCTION In the present paper, for some types of linear systems of di erential-algebraic equations on a semi-in nite interval, we suggest and analyze a method for singling out the set of solutions bounded at in nity. For systems of ordinary di erential equations, the problem of singling out the set of solutions bounded at a singular point (in particular, at in nity), as well as the problem of posing admissible boundary conditions at a singular point, has been studied in detail. Some results closest to the present paper can be found in [1{9]. It is well known that the generalization of any results obtained for systems http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

How to Single out Solutions Bounded at a Singular Point for Some Differential-Algebraic Systems

Abramov, A.; Ul'yanova, V.; Yukhno, L.
Differential Equations , Volume 40 (7) – Nov 14, 2004
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Publisher
Springer Journals
Copyright
Copyright © 2004 by MAIK “Nauka/Interperiodica”
Subject
Mathematics; Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1023/B:DIEQ.0000047026.01739.36
Publisher site
See Article on Publisher Site

Abstract

Differential Equations, Vol. 40, No. 7, 2004, pp. 954–958. Translated from Differentsial'nye Uravneniya, Vol. 40, No. 7, 2004, pp. 893–897. Original Russian Text Copyright c 2004 by Abramov, Ul'yanova, Yukhno. NUMERICAL METHODS How to Single out Solutions Bounded at a Singular Point for Some Di erential-Algebraic Systems A. A. Abramov, V. I. Ul'yanova, and L. F. Yukhno Computational Center, Russian Academy of Sciences, Moscow, Russia Institute for Mathematical Modelling, Russian Academy of Sciences, Moscow, Russia Received February 6, 2004 Dedicated to Academician A.A. Samarskii on the occasion of his eighty- fth birthday INTRODUCTION In the present paper, for some types of linear systems of di erential-algebraic equations on a semi-in nite interval, we suggest and analyze a method for singling out the set of solutions bounded at in nity. For systems of ordinary di erential equations, the problem of singling out the set of solutions bounded at a singular point (in particular, at in nity), as well as the problem of posing admissible boundary conditions at a singular point, has been studied in detail. Some results closest to the present paper can be found in [1{9]. It is well known that the generalization of any results obtained for systems

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Differential Equations – Springer Journals

Published: Nov 14, 2004

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