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Ivanov, A., Kazmerchuk, Y. and Swishchuk, A. (2003) Theory, Stochastic Stability and Applications of Stochastic Delay Differential Equations: A Survey of Results. Differential Equations and Dynamical Systems, 11, 55-115.

has been cited by the following article:

• TITLE: Stability of High-Order Linear Itô Equations with Delays

  AUTHORS: Lev Idels, Ramazan Kadiev, Arcady Ponosov

  KEYWORDS: High-Order Stochastic Models, Delay, Stability, Non-Lyapunov Methods, M-Matrices

  JOURNAL NAME: Applied Mathematics, Vol.9 No.3, March 29, 2018

  ABSTRACT: A novel general stability analysis scheme based on a non-Lyapunov framework is explored. Several easy-to-check sufficient conditions for exponential p-stability are formulated in terms of M-matrices. Stability analysis of applied second-order Itô equations with delay is provided as well. The linearization technique, in combination with the tests obtained in this paper, can be used for local stability analysis of a wide class of nonlinear stochastic differential equations.