On the spectrum of a stationary problem with nonlocal integral type boundary condition

Sigita Pečiulytė; Olga Štikonienė; Artūras Štikonas

doi:10.15388/LMR.2004.15312

Articles

Sigita Pečiulytė

Vytautas Magnus University

Olga Štikonienė

Vilnius University

Artūras Štikonas

Vilnius University

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

Published 2004-12-17

https://doi.org/10.15388/LMR.2004.15312

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Keywords

nonlocal boundary condition
eigenvalue problem

How to Cite

Pečiulytė, S., Štikonienė, O. and Štikonas, A. (2004) “On the spectrum of a stationary problem with nonlocal integral type boundary condition”, Lietuvos matematikos rinkinys, 44(spec.), pp. 655–659. doi:10.15388/LMR.2004.15312.

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Abstract

We investigated a eigenvalue problem for simple second order ordinary differential equation with one integral type nonlocal boundary condition. The eigenvalues and eigenfunctions of such problem are depending on few parameters in the nonlocal boundary conditions. For some values of those parameters all eigenvalues are positive. We find conditions when there is one zero or one negative eigenvalue. We investigate similar discrete problem too.

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