On positive eigenfunctions of Sturm‐Liouville problem with nonlocal two‐point boundary condition
| Autor: | Artūras Štikonas, S. Pečiulyte |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2007 |
| Předmět: |
Sturm‐Liouville problem
nonlocal two‐point condition Mathematical analysis Nonlocal boundary Sturm–Liouville theory Mixed boundary condition Eigenfunction Mathematics::Spectral Theory Domain (mathematical analysis) Point boundary positive eigenvalues Modeling and Simulation positive eigenfunctions QA1-939 Boundary value problem Mathematics Analysis Eigenvalues and eigenvectors |
| Zdroj: | Mathematical Modelling and Analysis; Vol 12 No 2 (2007); 215-226 Mathematical Modelling and Analysis, Vol 12, Iss 2 (2007) |
| ISSN: | 1392-6292 1648-3510 |
| Popis: | Positive eigenvalues and corresponding eigenfunctions of the linear Sturm‐Liouville problem with one classical boundary condition and another nonlocal two‐point boundary condition are considered in this paper. Four cases of nonlocal two‐point boundary conditions are analysed. We get positive eigenfunctions existence domain for each case of these problems. This domain depends on the parameters of the nonlocal boundary problem and it gives necessary and sufficient conditions for existing positive eigenvalues with positive eigenfunctions. First Published Online: 14 Oct 2010 |
| Databáze: | OpenAIRE |
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