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Stability of Systems with Aftereffect

In: Qualitative Analysis of Set-Valued Differential Equations

Author

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  • Anatoly A. Martynyuk

    (National Academy of Sciences of Ukraine, Institute of Mechanics)

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.

Suggested Citation

  • Anatoly A. Martynyuk, 2019. "Stability of Systems with Aftereffect," Springer Books, in: Qualitative Analysis of Set-Valued Differential Equations, chapter 0, pages 123-134, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-07644-3_5
    DOI: 10.1007/978-3-030-07644-3_5
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