Lenyuk O. Evolutionary equations with pseudo-Bessel operators

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U001939

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

18-04-2008

Specialized Academic Board

К 76.051.02

Essay

The thesis is devoted to the development of the theory of Cauchy problem and two-point problem for the evolutionary equations with pseudo-Bessel operators in classes of the initial conditions, which are generalized functions of distribution and ultra-distribution type, while spaces of main and generalized functions are described, conditions of the Bessel and Fourier-Bessel transforms, convolutions, convolutors and multiplicators are studied in these spaces, the conditions of fundamental solution are researched.

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