Inversion of the Cauchy Integral Taken over the Double Periodic Line

Autor: Khatiashvili, N.
Zdroj: Georgian Mathematical Journal; March 2003, Vol. 10 Issue: 1 p133-144, 12p
Abstrakt: The Cauchy type singular integral equation is investigated when the line of integration is the union of a countable number of disconnected segments. The equation is equivalently reduced to an equation with double periodic kernel. Effective solutions having integrable singularities at the end-points of the line of integration are obtained.
Databáze: Supplemental Index