APPROXIMATED SOLUTION OF HYPERSINGULAR INTEGRAL EQUATIONS WITH COMPLETE SINGULARITIES OF THE ODD 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
Boykova Alla Ilyinichna, Candidate of physical and mathematical sciences, associate professor, sub-department of higher and applied mathematics, Penza State University, math@pnzgu.ru

517.392

For solution of hypersingular integral equations and polyhypersingular integral equations with integer odd singularities offered zero-order spline-collocation methods. Introduced the definition of hypersingular integrals for functions with the first order breaks.

hypersingular integral equations, polyhypersingular integral equations, spline-collocation methods.