Nonlinear differential equations with asymptotically stable solutions

  • V. E. Slyusarchuk

Abstract

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<0}∀xE. We give an example of an equation with unstable solutions.
Published
25.02.1998
How to Cite
SlyusarchukV. E. “Nonlinear Differential Equations With Asymptotically Stable Solutions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 2, Feb. 1998, pp. 264–273, https://umj.imath.kiev.ua/index.php/umj/article/view/4960.
Section
Research articles