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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 11, Pages 3–11
(Mi ivm1772)
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This article is cited in 7 scientific papers (total in 7 papers)
A difference-analytical method for the computation of eigenvalues of the fourth order equations with separated boundary conditions
R. R. Abzalimova, E. V. Salyakhovab a Ufa Oil Technical State University
b Ufa Aviation Technical State University
Abstract:
We propose a method for the computation of eigenvalues with odd multiplicities for spectral boundary value problems of the 4th order with separated boundary conditions. In this method, approximate eigenvalues appear as zeros of a certain function $f(\lambda)$ which admits an explicit representation.
Keywords:
eigenvalue, eigenfunction.
Received: 06.03.2006 Revised: 11.03.2008
Citation:
R. R. Abzalimov, E. V. Salyakhova, “A difference-analytical method for the computation of eigenvalues of the fourth order equations with separated boundary conditions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 11, 3–11; Russian Math. (Iz. VUZ), 52:11 (2008), 1–9
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https://www.mathnet.ru/eng/ivm1772 https://www.mathnet.ru/eng/ivm/y2008/i11/p3
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Abstract page: | 250 | Full-text PDF : | 62 | References: | 41 | First page: | 1 |
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