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Stability of Solutions of Stochastic Functional Differential Equations with an Infinite Previous History and Poisson Switchings. II

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Abstract

To study the stability of the stochastic "dangling spider" model, the second Lyapunov method is substantiated for stochastic differential functional equations with the whole previous history.

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Authors and Affiliations

  1. Chernovitskii Department, Kharkiv State Polytechnical University, Chernivtsi, Ukraine

    E. V. Yasinskii

  2. Yu. Fed'kovych State University, Chernivtsi, Ukraine

    V. K. Yasinskii

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  1. E. V. Yasinskii
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  2. V. K. Yasinskii
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Yasinskii, E.V., Yasinskii, V.K. Stability of Solutions of Stochastic Functional Differential Equations with an Infinite Previous History and Poisson Switchings. II. Cybernetics and Systems Analysis 36, 699–721 (2000). https://doi.org/10.1023/A:1009428806622

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