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Turkish Journal of Mathematics

Authors

ULUĞ ÇAPAR

Abstract

The solution of a random semilinear hyperbolic system with singular initial data is sought as a random Colombeau distribution. The product of 2 additive white noises is well tackled within the theory of random Colombeau distributions. In the special case of a random predator--prey system, the exact Colombeau solution is obtained under some assumptions when the process is driven by doubly reflected Brownian motions.

DOI

10.3906/mat-1105-1

Keywords

Stochastic nonlinear predator--prey equation, generalized solutions, random Colombeau distributions

First Page

1048

Last Page

1060

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