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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive
Izv. RAN. Ser. Mat., 2001 Volume 65, Issue 4, Pages 133–150 (Mi im351)
This article is cited in 9 papers

Spectral properties of solutions of the Tricomi problem for equations of mixed type with two lines of degeneracy, and their applications

K. B. Sabitov, A. A. Karamova

Sterlitamak State Pedagogical Institute

Abstract: We find the eigenvalues and eigenfunctions for the spectral Tricomi problem for an equation of mixed type with two lines of degeneracy and solve the planar and spatial Tricomi problems for equations with the Lavrent'ev–Bitsadze operator.

MSC: 35M10, 35C10, 35C15, 35A05, 35B65, 35B50

Received: 01.12.1999

DOI: 10.4213/im351


 English version: Izvestiya: Mathematics, 2001, 65:4, 769–785

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© Steklov Math. Inst. of RAS, 2025