Local Existence of Solution to a Class of Stochastic Differential Equations with Finite Delay in Hilbert Spaces - Applied Mathematics

AM > Vol.4 No.1, January 2013

Applied Mathematics

Volume 4, Issue 1 (January 2013)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Local Existence of Solution to a Class of Stochastic Differential Equations with Finite Delay in Hilbert Spaces ()

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Download as PDF (Size: 94KB) PP. 97-101

DOI: 10.4236/am.2013.41017 4,181 Downloads 6,135 Views

Author(s)

Le Anh Minh, Hoang Nam, Nguyen Xuan Thuan

Affiliation(s)

Department of Natural Sciences, Hong Duc University, Thanh Hoa, Vietnam.

ABSTRACT

In this paper, we present a local Lipchitz condition for the local existence of solution to a class of stochastic differential equations with finite delay in a real separable Hilbert space which has the following form:

KEYWORDS

Stochastic Differential Equation; Local Lipchitz Condition; Strongly Semigroup

Share and Cite:

L. Minh, H. Nam and N. Thuan, "Local Existence of Solution to a Class of Stochastic Differential Equations with Finite Delay in Hilbert Spaces," Applied Mathematics, Vol. 4 No. 1, 2013, pp. 97-101. doi: 10.4236/am.2013.41017.

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