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On location of the spectrum of the tricomi problem

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Abstract

We study the homogeneous Tricomi problem for a mixed type equation with two spectral parameters λ 1 and λ 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.

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Authors and Affiliations

  1. Sterlitamak State Pedagogical Academy, Sterlitamak, Russia

    Yu. K. Sabitova

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  1. Yu. K. Sabitova
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Correspondence to Yu. K. Sabitova.

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Original Russian Text Copyright © 2015 Sabitova Yu.K.

The author was supported by the Russian Foundation for Basic Research (Grant r Povolhz’e a 14-01-97003).

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Sterlitamak. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 1, pp. 192–210, January–February, 2015.

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Sabitova, Y.K. On location of the spectrum of the tricomi problem. Sib Math J 56, 160–176 (2015). https://doi.org/10.1134/S0037446615010164

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  • DOI: https://doi.org/10.1134/S0037446615010164

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