Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Stability of solutions of linear systems with dominant main diagonal

Author: Charles Kahane
Journal: Proc. Amer. Math. Soc. 33 (1972), 69-71
MSC: Primary 34D99
MathSciNet review: 0294799
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We establish the asymptotic stability of solutions of a first order linear system of differential equations in which the matrix characterizing the system has a dominating principal diagonal with negative entries; the domination is expressed through the condition that, numerically, each entry in the principal diagonal exceeds the sum of the absolute values of the remaining entries in the same column.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 34D99

Retrieve articles in all journals with MSC: 34D99

Additional Information

Keywords: Stability, linear differential system, matrices with dominant main diagonal
Article copyright: © Copyright 1972 American Mathematical Society

American Mathematical Society