The Tricomi problem for a mixed type differential-difference equation in an unbounded domain

A. N. Zarubin, E. V. Chaplygina

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

Abstract: The boundary value Tricomi problem for a mixed type equation with a lagged argument in the desired function and its derivative is investigated. The problem is uniquely solvable.

Keywords: mixed type equation, differential-difference equation, integral equation, difference equation, concentrated equation.

UDC: 517.956

Received: 01.03.2022
Revised: 01.03.2022
Accepted: 29.06.2022

DOI: 10.26907/0021-3446-2022-12-57-67

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2022, 66:12, 53–61