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Random composing of mappings, small stochastic perturbations and attractors

✍ Scribed by Paweł Góra


Publisher
Springer
Year
1985
Tongue
English
Weight
1020 KB
Volume
69
Category
Article
ISSN
1432-2064

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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