A problem with Tricomi and Frankl conditions on the characteristic for a class of mixed-type equations

M. Mirsaburov, Zh. Khudzhaev

Termez State University, Termez, Republic of Uzbekistan

Abstract: In this paper we prove correctness of a problem with Tricomi and Frankl conditions on the characteristic for a certain class of mixed-type equations.

Keywords: uniqueness of solution, existence of solution, Tricomi integral equation, Wiener–Hopf equation, index of equation.

UDC: 517.956

Received: 07.12.2011

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2013, 57:1, 35–43

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