É. I. Zverovich, A. P. Shilin
2019.1.11Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series
tlooto Summary
Linear integro-differential equations with singular and hypersingular integrals are solved using a closed curve in the complex plane.
Abstract
Quadrature linear integro-differential equations on a closed curve located in the complex plane are solved. The equations contain singular integrals which are understood in the sense of the main value and hypersingular integrals which are understood in the sense of the Hadamard finite part. The coefficients of the equations have a special structure.
Citation format
ZVEROVICH, É. I.; SHILIN, A. P. Integro-differential equations with singular and hypersingular integrals. Proceedings of the National Academy of Sciences of Belarus Physics and Mathematics Series, 2019.