This article is cited in 4 papers

On location of the spectrum of the Tricomi problem

Yu. K. Sabitova

Sterlitamak State Pedagogical Academy, Sterlitamak, Russia

Abstract: We study the homogeneous Tricomi problem for a mixed type equation with two spectral parameters $\lambda_1$ and $\lambda_2$ and specify the conditions on these parameters which ensue uniqueness of solutions to this problem. Hence, we describe the sets on the complex plane which do not contain the spectrum of the Tricomi problem.

Keywords: mixed type equation, Tricomi problem, uniqueness theorem, spectrum.

UDC: 917.95

Received: 13.08.2012

 English version: Siberian Mathematical Journal, 2015, 56:1, 160–176

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