Kudjavina Y. Riemann boundary value problem and singular integral equations with piecewise-continuous coefficients on rectifiable curves

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U003414

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

10-06-2008

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

The piecewise-continuous Riemann boundary value problem and the characteristic singular integral equation with the Cauchy kernel are solved in an explicit form for expanded in comparison with the previous results classes of Jordan rectifiable curves. Sufficient conditions for Noetherian properties of singular integral equation with the Cauchy kernel with piecewise-continuous coefficients on a closed Jordan rectifiable curve are established.

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