Drin' S. The Cauchy problem for singularly evolution equations of infinite order

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0407U002336

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

11-05-2007

Specialized Academic Board

К 76.051.02

Essay

The thesis is devoted to the construction of the Cauchy problem for the evolutionary equations with Bessel operator of the infinite order with coefficients depending only on the time variable in classes of the initial conditions, which are generalized functions from special type and research of the conditions of fundamental solution, while initially spaces of the main and generalized functions of special type are described, conditions of the Fourier-Bessel transformation convolutions, convolutors and multiplicators are studied in this spaces.

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