Grishchuk S. Integral expressions in boundary problems for generalised axial-symmetric potential

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U001037

Thesis Registration Form

0408U001037.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

04-03-2008

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

We have obtained integral expressions of generalized axial-symmetric potentials in a simply connected domain which is summetric with respect to the axis Ox. In the case 0<m<2 for some classes оf generalized axial-symmetric potentials we have proved the uniqueness of their expressions by using appropriate integrals. For m>1 we have obtained construction algoriths generalized axial-symmetric potentials by means of components of monogenic functions of hypercomplex variable, which are built in explicit form as a continuation analytic functions of complex variable.

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Files

Aref.pdf

Disertacia.pdf

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