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.

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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--Liouville} problem with generalized boundary condition of the third kind},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {275--284},
     publisher = {mathdoc},
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     number = {3},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2020_11_3_a1/}
}
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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/