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Exponential Stability in Mean Square of Stochastic Functional Differential Equations with Infinite Delay

Exponential Stability in Mean Square of Stochastic Functional Differential Equations with... A novel approach to the exponential stability in mean square of stochastic functional differential equations and neutral stochastic functional differential equations with infinite delay is presented. Consequently, some new criteria for the exponential stability in mean square of the considered equations are obtained. Lastly, some examples are investigated to illustrate the theory. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Exponential Stability in Mean Square of Stochastic Functional Differential Equations with Infinite Delay

Acta Applicandae Mathematicae , Volume 174 (1) – Jul 29, 2021

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References (25)

Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to Springer Nature B.V. 2021
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-021-00426-1
Publisher site
See Article on Publisher Site

Abstract

A novel approach to the exponential stability in mean square of stochastic functional differential equations and neutral stochastic functional differential equations with infinite delay is presented. Consequently, some new criteria for the exponential stability in mean square of the considered equations are obtained. Lastly, some examples are investigated to illustrate the theory.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Jul 29, 2021

Keywords: Exponential stability in mean square; Stochastic functional differential equations; Neutral stochastic functional differential equations; Infinite delay; 60H15; 60G15; 60H05

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