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

Autor: Sigita Pečiulytė, Olga Štikonienė, Artūras Štikonas
Jazyk: English<br />Lithuanian
Rok vydání: 2004
Předmět:
Zdroj: Lietuvos Matematikos Rinkinys, Vol 44, Iss spec. (2004)
Druh dokumentu: article
ISSN: 0132-2818
2335-898X
DOI: 10.15388/LMR.2004.15312
Popis: 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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