Spektors'kyj I. Stochastic equations in the spaces of formal series and formal mappings

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0499U001547

Thesis Registration Form

0499U001547.pdf

Applicant for

Specialization

  • 01.01.05 - Теорія ймовірностей і математична статистика

21-06-1999

Specialized Academic Board

Д26.001.37

Essay

We consider stochastic equations in the spaces of formal power series. The aim of investigations is constructing some elements of theory of stochastic equations in the spaces of formal series and formal mappings. We prove the theorem of existence and uniqueness of solution, investigate markovian property, obtain an analog of Cauchi- Kovalevskaya theorem. The work is pure theoretical. The results can be used in investigating of stochastic objects in Hilbert and formal spaces.

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