Asymptotic analysis of Sturm-Liouville problem with Robin and two-point boundary conditions

Artūras Štikonas

doi:10.15388/LMR.2022.29692

Articles

Artūras Štikonas

Vilnius University

https://orcid.org/0000-0002-5872-5501

Published 2022-12-10

https://doi.org/10.15388/LMR.2022.29692

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Štikonas, A. (2022) “Asymptotic analysis of Sturm-Liouville problem with Robin and two-point boundary conditions”, Lietuvos matematikos rinkinys, 63(A), pp. 9–18. doi:10.15388/LMR.2022.29692.

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Abstract

We analyze the initial value problem and get asymptotic expansions for solution. We investigate the characteristic equation for Sturm-Liouville problem with one classical Robin type boundary condition and another two-point nonlocal boundary condition. Finally, we obtain asymptotic expansions for eigenvalues and eigenfunctions.

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