Art

J-GLOBAL ID：201102247397156996   Reference number：11A0146895

On Asymptotic Behaviour of Solutions to Linear Differential Systems with Variable Coefficients via Characteristic Numbers

特性数を介した可変係数を持った線形微分系に対する解の漸近的振る舞い

Author (2)： ISHIDA Haruhisa (The Univ. of Electro-Communications) ,  LEE Hyung-ju (The Univ. of Electro-Communications)
Material： Funkcialaj Ekvacioj. International Series  (Funkcialaj Ekvacioj)
Volume： 53  Issue： 3  Page： 359-379 (J-STAGE)  Publication year： 2010 
JST Material Number： L4931A  ISSN： 0532-8721  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *differential equation ,  solution(mathematics) ,  *asymptotic behavior ,  mechanical model ,  mathematical model
Semi thesaurus term： *Wazewski型不等式 ,  *linear equation ,  Linear Models ,  *characteristic value

JST classification (1)： Analysis  (AB05000M)

Reference (15)：

• [1] Adrianova, L. Ya., Introduction to Linear Systems of Differential Equations, Trans. Math. Monographs, 146, American Mathematical Society, Providence, RI, 1995.
• [2] Bendixson, I., Sur les courbes définies par des équations différentielles, Acta Math., 24 (1901), 1-88.
• [3] Bylov, B. F., Vinograd, R. E., Grobman, D. M. and Nemytskii, V. V., Theory of Lyapunov exponents and its applications to problems of stability (Russian), "Nauka", Moscow, 1966.
• [4] Coppel, W. A., Stability and Asymptotic behavior of Differential Equations, D. C. Heath and Co., Boston, 1965.
• [5] Demidovich, B. P., A generalization of the Lyapunov stability criterion for regular systems (Russian), Mat. Sb. (N.S.), 66(108) (1965), 344-353.

Terms in the title (5)： 可変 ,  係数 ,  線形 ,  微分 ,  解