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MATHEMATICS
Approximate analytical method for finding eigenvalues of Sturm–Liouville problem with generalized boundary condition of the third kind
V. D. Lukyanova, D. A. Bulekbaevb, A. V. Morozovb, L. V. Nosovab a Joint-Stock Company “Avangard”, Kondrat'evsky, 72, St. Petersburg, 195271, Russia
b Mozhaisky Military Space Academy, Zhdanovskaya, 13, St. Petersburg, 197198, Russia
Аннотация:
The Sturm–Liouville problem is solved for a linear differential second-order equation with generalized boundary conditions of the third kind Generalized boundary conditions consist of a linear combination of the boundary values of a function and its derivative. The coefficients of the linear combination are polynomials of the boundary problem eigenvalue. A method of approximate analytical calculation of boundary problem eigenvalues is proposed The calculation error of an eigenvalue is estimated.
Ключевые слова:
Sturm-Liouville problem, boundary conditions of the third kind, eigenfunctions, eigenvalues, approximation.
Поступила в редакцию: 21.06.2020
Образец цитирования:
V. D. Lukyanov, D. A. Bulekbaev, A. V. Morozov, L. V. Nosova, “Approximate analytical method for finding eigenvalues of Sturm–Liouville problem with generalized boundary condition of the third kind”, Наносистемы: физика, химия, математика, 11:3 (2020), 275–284
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nano524 https://www.mathnet.ru/rus/nano/v11/i3/p275
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