On the Stability of Solutions of Evolutionary Equations with Nonfixed Times of Pulse Actions


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Abstract

In an abstract Banach space, we establish conditions for the stability of bounded solutions of a nonlinear evolutionary equation with sectorial operator in the linear part of the equation and nonfixed times of pulse action.

About the authors

A. V. Dvornyk

Institute of Mathematics, Ukrainian National Academy of Sciences

Author for correspondence.
Email: a.dvornyk@gmail.com
Ukraine, Tereshchenkivs’ka Str. 3, Kyiv, 01601

V. I. Tkachenko

Institute of Mathematics, Ukrainian National Academy of Sciences

Email: a.dvornyk@gmail.com
Ukraine, Tereshchenkivs’ka Str. 3, Kyiv, 01601

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