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Sibirskii Matematicheskii Zhurnal, 2001, Volume 42, Number 5, Pages 1147–1161
(Mi smj1412)
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This article is cited in 2 scientific papers (total in 2 papers)
Spectral properties of a solution to the Gellerstedt problem for mixed-type equations and their applications
K. B. Sabitovab, A. N. Kuchkarovab a 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.
Received: 25.04.2000 Revised: 28.05.2001
Citation:
K. B. Sabitov, A. N. Kuchkarova, “Spectral properties of a solution to the Gellerstedt problem for mixed-type equations and their applications”, Sibirsk. Mat. Zh., 42:5 (2001), 1147–1161; Siberian Math. J., 42:5 (2001), 961–974
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https://www.mathnet.ru/eng/smj1412 https://www.mathnet.ru/eng/smj/v42/i5/p1147
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Abstract page: | 328 | Full-text PDF : | 146 |
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