Almost Sure Exponential Stability of Neutral Differential Difference Equations with Damped Stochastic Perturbations

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چکیده

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Almost Sure Exponential Stability of Neutral Differential Difference Equations with Damped Stochastic Perturbations

In this paper we shall discuss the almost sure exponential stability for a neutral differential difference equation with damped stochastic perturbations of the form d[x(t) −G(x(t − τ ))] = f(t, x(t), x(t − τ ))dt + σ(t)dw(t). Several interesting examples are also given for illustration. It should be pointed out that our results are even new in the case when σ(t) ≡ 0, i.e. for deterministic neut...

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ژورنال

عنوان ژورنال: Electronic Journal of Probability

سال: 1996

ISSN: 1083-6489

DOI: 10.1214/ejp.v1-8