Sharay N. The asymptotic solutions behaviour of the semi-explicit differential system

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U004222

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

28-10-2005

Specialized Academic Board

К 41.051.05

Essay

For the differential systems of the first order not solved in respect to their derivatives in the complex domain, the method of solvability or particular solvability of the systems in respect to derivatives is generalized. The sufficient conditions of the analytical solutions existence are found in the domain with the special point on the border and their estimination is obtained for the Cauchy problems. the linear part of their systems contains the variable singular matrix pencil. The number of these solutions was studied in particular, the solutions family dimension,depending on the arbitrary analytical functions from some classes.

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