Myronyk V. The periodic Cauchy problem and two-points problem for evolutional equations of the infinite order

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0409U004690

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

25-09-2009

Specialized Academic Board

К76.051.02

Essay

The thesis is devoted to the development of the periodic Cauchy problem for evolutional equations with pseudo-differential operators of the infinite order and two-points problem for evolutional equations with pseudo-Bessel operators of the infinite order with initial and boundary conditions which are the generalized functions of distribution type and ultra-distribution type. We obtain the conditions under which these operators are defined and continuous in the spaces of basic functions. The representation of solutions is given. The properties of fundamental solutions are investigated

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