ЭБ Коллекция:
https://elib.bsu.by:443/handle/123456789/185744
20210917T12:41:56Z

Hypersingular integrodifferential equations with power factors in coefficients
https://elib.bsu.by:443/handle/123456789/260879
Заглавие документа: Hypersingular integrodifferential equations with power factors in coefficients
Авторы: Shilin, A.P.
Аннотация: The linear hypersingular integrodifferential equation of arbitrary order on a closed curve located on the complex plane is considered. A scheme is proposed to study this equation in the case when its coefficients have some particular structure. This scheme providers for the use of generalized Sokhotsky formulas, the solution of the Riemann boundary value problem and the solution in the class of analytical functions of linear differential equations. According to this scheme, the equations are explicitly solved, the coefficients of which contain power factors, so that along with the Riemann problem the arising differential equations are constructively solved. Solvability conditions, solution formulas, examples are given. © 2019, The Belarusian State University. All rights reserved.
20190101T00:00:00Z