2013年7月
A CHARACTERIZATION OF THE STABILITY OF A SYSTEM OF THE BANACH SPACE VALUED DIFFERENTIAL EQUATIONS
MATHEMATICAL INEQUALITIES & APPLICATIONS
- ,
- ,
- ,
- 巻
- 16
- 号
- 3
- 開始ページ
- 717
- 終了ページ
- 728
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.7153/mia-16-54
- 出版者・発行元
- ELEMENT
We will consider the Banach space valued differential equation eta'(t) = A eta(t), where A is an n x n complex matrix. We give a necessary and sufficient condition in order that the equation have the Hyers-Ulam stability. As a Corollary, we prove that the Banach space valued linear differential equation with constant coefficients y((n))(t) + a(n-1)y((n-1))(t) + ... + a(1)y'(t) + a(0)y(t) = 0 has the Hyers-Ulam stability if and only if Re lambda not equal 0 for all the solutions lambda of the equation z(n) + a(n-1)z(n-1) + ... + a(1)z + a(0) = 0.
- リンク情報
- ID情報
-
- DOI : 10.7153/mia-16-54
- ISSN : 1331-4343
- Web of Science ID : WOS:000328878400009