Brayman V. Transformations of measures and evolutionary flows with interaction in infinite-dimensional spaces.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0407U000097

Thesis Registration Form

0407U000097.pdf

Applicant for

Specialization

  • 01.01.05 - Теорія ймовірностей і математична статистика

26-12-2006

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

The main object investigated in the thesis is a differential equation with interaction. For differential equation with interaction with Sobolev coefficients in abstract Wiener space, sufficient conditions for existence and uniqueness of solution are obtained and the continuity of solution as a function of initial measure and time is established in the metric of convergence in variation. The convergence in variation of images of differentiable measure on an infinite-dimensional Banach space under nonlinear transformations is proved.

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Files

avtoreferat.pdf

dissertaciya.pdf

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