APPROXIMATED SOLUTION OF HYPERSINGULAR INTEGRAL EQUATIONS BY SPLINE-COLLOCATION METHODS OF THE ZERO ORDER

Boykov Ilya Vladimirovich, Doctor of physical and mathematical sciences, professor, head of sub-department
of higher and applied mathematics, Penza State University, math@pnzgu.ru
Zakharova Yuliya Fridrikhovna, Candidate of physical and mathematical sciences, associate professor, sub-department of higher and applied mathematics, Penza State University, math@pnzgu.ru
Alatkin Sergey Pavlovich, Postgraduate student, Penza State University, math@pnzgu.ru

517.392

Offered spline-collocation methods of the zero order for solution of the one dimensional and multidimensional hypersingular integral equations. Received condi-tions of the unique solutions for wide classes of hypersingular integral equations. Estimates of error are given for one dimensional and multidimensional Prandle equations.

hypersingular integral equations, spline-collocation methods.