Nonlinear differential equations with asymptotically stable solutions

• Datum: 1998
• Hauptverfasser: Slyusarchuk, V. E., Слюсарчук, В. Е.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1998
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4960
• Назва журналу: 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