This article is cited in 2 papers

Spectral properties of a solution to the Gellerstedt problem for mixed-type equations and their applications

K. B. Sabitov^ab, A. N. Kuchkarova<sup>b

a</sup> Sterlitamak State Pedagogical Institute
^b Sterlitamak Branch of Academy of Sciences of Bashkortostan

Abstract: We find eigenvalues and the corresponding eigenfunctions of the Gellerstedt problem for mixed-type equations with the Lavrent'ev–Bitsadze operator. We study the spectral properties of the system of eigenfunctions and present their applications to construction of a solution to the Gellerstedt problem in the form of the sum of a series.

UDC: 517.95

Received: 25.04.2000
Revised: 28.05.2001

 English version: Siberian Mathematical Journal, 2001, 42:5, 961–974

Bibliographic databases:

• 
• 
•