Martynyuk O. The Cauchy problem for evolution equations with Bessel operator of infinite order

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0404U001820

Thesis Registration Form

0404U001820.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

23-04-2004

Specialized Academic Board

К 76.051.02

Essay

The necessary and sufficient conditions, under which the Bessel operator of infinite order is correct introduced and bound in the spaces of basic functions, are found. The estimations are established and properties of fundamental solution of the Cauchy problem as an abstract function of time parameter wich values in spaces of basic functions are investigated. Theorems of correct solvability of the Cauchy problem in the spaces of generalized functions of infinite order of ultra type are proved. The theory of the Cauchy problem for evolution equation with Bessel operator of differentiation of infinite order is developed.

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Titulф.doc

aref.doc

disser.pdf

main.pdf

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