Stochastic Equations with an Unbounded Operator Coefficient and Multiplicative Noise
- Autores: Melnikova I.V.1, Alshanskiy M.A.2
- 
							Afiliações: 
							- Institute of Natural Sciences and Mathematics
- Institute of Radio Engineering and Information Technologies
 
- Edição: Volume 58, Nº 6 (2017)
- Páginas: 1052-1066
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171591
- DOI: https://doi.org/10.1134/S0037446617060143
- ID: 171591
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Resumo
Under study is a stochastic operator-differential equation with multiplicative noise in the space of Hilbert-valued generalized random variables. Existence and uniqueness of solutions to the Cauchy problem are proved for the case of an unbounded operator coefficient at the white noise. The equation of population dynamics with a stochastically perturbed multiplication operator is presented as an example.
Sobre autores
I. Melnikova
Institute of Natural Sciences and Mathematics
							Autor responsável pela correspondência
							Email: Irina.Melnikova@urfu.ru
				                					                																			                												                	Rússia, 							Ekaterinburg						
M. Alshanskiy
Institute of Radio Engineering and Information Technologies
														Email: Irina.Melnikova@urfu.ru
				                					                																			                												                	Rússia, 							Ekaterinburg						
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