ChORNA O. Investigation of inverse problems of the logarithmic potential theory for bodies resembling the given ones

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0499U002441

Thesis Registration Form

0499U002441.pdf

Applicant for

Specialization

  • 04.00.22 - Геофізика

27-09-1999

Specialized Academic Board

Д 26. 200. 01

Essay

Unlinear integral equations with compact operators for defining contours of disturbed bodies near the given data are received. Local theorems of existing and stability of solving have been proved. An effective method of solving unlinear integral equations has been suggested. Global regularized operator for each of them is being found as a sequence of local regularized operators for corresponding linear integral equations with compact non-negative operators. Special adapted procedures of smoothing data-in have been elaborated for the definition of right parts of these eguations.

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