Dirichlet problem for a singular integro-functional-differential equation of the composite type

A. N. Zarubin, E. Chaplygina

Orel State University named of I.S. Turgenev, 95, Komsomolskaya str., Orel, 302026, Russia

Abstract: A problem for a composite integro-functional differential equation with singular integro-functional operators is investigated. The theorems of uniqueness and existence of a twice continuously differentiable solution are proved.

Keywords: equations of compound type, singular integral equations, functional delay, advance, Fourier method.

UDC: 517.956

Received: 19.11.2019
Revised: 19.11.2019
Accepted: 25.03.2020

DOI: 10.26907/0021-3446-2020-10-24-32

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2020, 64:10, 20–28

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