Colombeau solutions of a nonlinear stochastic predator-prey equation

被引：4
|
作者：
Capar, Ulug [1 ]
机构：
[1] Sabanci Univ, MDBF, Istanbul, Turkey
来源：
TURKISH JOURNAL OF MATHEMATICS | 2013年 / 37卷 / 06期
关键词：
Stochastic nonlinear predator-prey equation; generalized solutions; random Colombeau distributions; DISTRIBUTIONS; SYSTEM;
D O I：
10.3906/mat-1105-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：1048 / 1060
页数：13
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