Riemann’s differential boundary-value problem and its application to integro-differential equations
https://doi.org/10.29235/1561-8323-2019-63-4-391-397
Abstract
The boundary-value problem for analytical functions is investigated. The boundary condition is placed on a closed curve located on the complex plane. The problem belongs to the type of the generalized Riemann boundary-value problems. The boundary condition contains derivatives of the required functions. The problem is reduced to the usual Riemann problem and linear differential equations. The solution is built in closed form. The application of the solved problem to integro-differential equations is indicated.
About the Author
Andrei P. Shilin
Belarusian State University
Belarus
Belarus
Shilin Andrei Petrovich – Ph. D (Physics and Mathematics), Assistant professor
4, Nezavisimosti Ave., 220030, Minsk
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