On the spectrum of a stationary problem with nonlocal integral type boundary condition
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 parameter...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2004-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/15312 |
| Summary: | 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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| ISSN: | 0132-2818 2335-898X |