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On the existence, uniqueness, and stability behavior of a random solution to a nonlinear perturbed stochastic integro-differential equation

✍ Scribed by A.N.V. Rao; Chris P. Tsokos

Book ID
114037123
Publisher
Elsevier Science
Year
1975
Weight
430 KB
Volume
27
Category
Article
ISSN
0019-9958

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## Abstract This paper discusses a randomized logistic equation equation image with initial value __x__(0)=__x__~0~>0, where __B__(__t__) is a standard one‐dimension Brownian motion, and θ∈(0, 0.5). We show that the positive solution of the stochastic differential equation does not explode at any