Taiwanese Journal of Mathematics

On the Maximal Asymptotics for Linear Differential Equations in Banach Spaces

G. M. Sklyar

Abstract

The work develops the approach proposed in 1982 by the author and V.Ya. Shirman for analysis of asymptotic stability of a linear differential equation in Banach space. It is shown that the method introduced in the mentioned above work allows also to prove the nonexistence of the fastest growing solution for a wide class of linear equations.

Article information

Source
Taiwanese J. Math., Volume 14, Number 6 (2010), 2203-2217.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500406070

Digital Object Identifier
doi:10.11650/twjm/1500406070

Mathematical Reviews number (MathSciNet)
MR2742359

Zentralblatt MATH identifier
1230.34050

Citation

Sklyar, G. M. On the Maximal Asymptotics for Linear Differential Equations in Banach Spaces. Taiwanese J. Math. 14 (2010), no. 6, 2203--2217. doi:10.11650/twjm/1500406070. https://projecteuclid.org/euclid.twjm/1500406070

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