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January/February 2009 On stochastic delay evolution equations with non-lipschitz nonlinearities in Hilbert spaces
T.E. Govindan
Differential Integral Equations 22(1/2): 157-176 (January/February 2009).

Abstract

In this paper, we study existence and exponential stability problems of mild solutions associated with stochastic delay evolution equations in Hilbert spaces. These problems are resolved using the properties of a stochastic convolution integral and a comparison principle by exploiting Holder-type conditions on the drift and diffusion terms. The results obtained here generalize the corresponding main results from [1, 3, 4, 9, 13, 16].

Citation

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T.E. Govindan. "On stochastic delay evolution equations with non-lipschitz nonlinearities in Hilbert spaces." Differential Integral Equations 22 (1/2) 157 - 176, January/February 2009.

Information

Published: January/February 2009
First available in Project Euclid: 20 December 2012

zbMATH: 1240.60181
MathSciNet: MR2483017

Subjects:
Primary: 34K50, 60H20, 93E15

Rights: Copyright © 2009 Khayyam Publishing, Inc.

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Vol.22 • No. 1/2 • January/February 2009
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