Nonlinear differential equations with asymptotically stable solutions

• Date: 1998
• Main Authors: Slyusarchuk, V. E., Слюсарчук, В. Е.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4960
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish conditions of asymptotic stability of all solutions of the equation \(\frac{{dx}}{{dt}} = A(x)x\) , t≥0in a Banach space E in the case where σ(A(x)⊂{λ:Reλ