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On the existence and uniqueness of the solution of a differential equation with interaction governed by generalized function in abstract wiener space

We consider some the following differential equation with interaction governed by a generalized function/ The conditions that guarantee the existence and uniqueness of a solution when mapping a belongs to some Sobolev space are obtained.

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Bibliographic Details
Main Author: Brayman, V.B.
Format: Article
Language:English
Published: Інститут математики НАН України 2005
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/4423
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Summary:We consider some the following differential equation with interaction governed by a generalized function/ The conditions that guarantee the existence and uniqueness of a solution when mapping a belongs to some Sobolev space are obtained.