Stability of Systems with Aftereffect

Anatoly A. Martynyuk
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Anatoly A. Martynyuk: National Academy of Sciences of Ukraine, Institute of Mechanics

Chapter Chapter 5 in Qualitative Analysis of Set-Valued Differential Equations, 2019, pp 123-134 from Springer

Abstract: Abstract In this chapter we consider a set of equations with aftereffect and uncertain parameters. As a result of regularization of the family of equations according to the scheme adopted in the book, a set of equations with aftereffect are obtained, for which the solution existence conditions are established, an estimate of the distance between the extreme solution sets is obtained, and stability conditions for the set of stationary solutions on a finite time interval are found as well as the attenuation conditions for the set of trajectories.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-07644-3_5

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DOI: 10.1007/978-3-030-07644-3_5

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