Geodesic
Approximate analytical method for finding eigenvalues of Sturm–Liouville problem with generalized boundary condition of the third kind
Nanosistemy: fizika, himiâ, matematika, Tome 11 (2020) no. 3, pp. 275-284 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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.
Keywords: boundary conditions of the third kind, eigenfunctions, eigenvalues, approximation.
Mots-clés : Sturm-Liouville problem 
@article{NANO_2020_11_3_a1,
     author = {V. D. Lukyanov and D. A. Bulekbaev and A. V. Morozov and L. V. Nosova},
     title = {Approximate analytical method for finding eigenvalues of {Sturm{\textendash}Liouville} problem with generalized boundary condition of the third kind},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {275--284},
     year = {2020},
     volume = {11},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2020_11_3_a1/}
}
TY  - JOUR
AU  - V. D. Lukyanov
AU  - D. A. Bulekbaev
AU  - A. V. Morozov
AU  - L. V. Nosova
TI  - Approximate analytical method for finding eigenvalues of Sturm–Liouville problem with generalized boundary condition of the third kind
JO  - Nanosistemy: fizika, himiâ, matematika
PY  - 2020
SP  - 275
EP  - 284
VL  - 11
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/NANO_2020_11_3_a1/
LA  - en
ID  - NANO_2020_11_3_a1
ER  - 
%0 Journal Article
%A V. D. Lukyanov
%A D. A. Bulekbaev
%A A. V. Morozov
%A L. V. Nosova
%T Approximate analytical method for finding eigenvalues of Sturm–Liouville problem with generalized boundary condition of the third kind
%J Nanosistemy: fizika, himiâ, matematika
%D 2020
%P 275-284
%V 11
%N 3
%U http://geodesic.mathdoc.fr/item/NANO_2020_11_3_a1/
%G en
%F NANO_2020_11_3_a1
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. Nanosistemy: fizika, himiâ, matematika, Tome 11 (2020) no. 3, pp. 275-284. http://geodesic.mathdoc.fr/item/NANO_2020_11_3_a1/