Sturm–Liouville problem with two point nonlocal second type boundary condition

Sigita Pečiulytė; Artūras Štikonas

doi:10.15388/LMR.2005.14653

Articles

Sigita Pečiulytė

Vytautas Magnus University

Artūras Štikonas

Vilnius University

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

Published 2005-12-18

https://doi.org/10.15388/LMR.2005.14653

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Keywords

nonlocal boundary conditions
Sturm-Liouville problem

How to Cite

Pečiulytė, S. and Štikonas, A. (2005) “Sturm–Liouville problem with two point nonlocal second type boundary condition”, Lietuvos matematikos rinkinys, 45(spec.), pp. 432–436. doi:10.15388/LMR.2005.14653.

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Abstract

The Sturm–Liouville problemwith one classical boundary condition and other two point second type nonlocal
boundary conditions is considered in this paper. Three cases of nonlocal conditions are investigated.
There is analysed how spectrum of this problem depends on boundary condition parameters. Qualitative
behavior of all eigenvalues subject to nonlocal second type boundary condition parameters is described.

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