| Title:
|
Some estimates for the minimal eigenvalue of the Sturm-Liouville problem with third-type boundary conditions (English) |
| Author:
|
Karulina, Elena |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
136 |
| Issue:
|
4 |
| Year:
|
2011 |
| Pages:
|
377-384 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider the Sturm-Liouville problem with symmetric boundary conditions and an integral condition. We estimate the first eigenvalue $\lambda _1$ of this problem for different values of the parameters. (English) |
| Keyword:
|
Sturm-Liouville problem |
| Keyword:
|
minimal eigenvalue |
| MSC:
|
34B24 |
| MSC:
|
34L15 |
| idZBL:
|
Zbl 1249.34093 |
| idMR:
|
MR2985547 |
| DOI:
|
10.21136/MB.2011.141697 |
| . |
| Date available:
|
2011-11-10T15:50:09Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141697 |
| . |
| Reference:
|
[1] Egorov, Yu., Kondratiev, V.: On Spectral Theory of Elliptic Operators.Birkhäuser, Basel (1996). Zbl 0855.35001, MR 1409364 |
| Reference:
|
[2] Muryshkina, O. V.: On estimates for the first eigenvalue of the Sturm-Liouville problem with symmetric boundary conditions.Vestnik Molodyh Uchenyh. -- 3'2005. Series: Applied Mathematics and Mechanics. -- 1'2005 36-52. |
| Reference:
|
[3] Vinokurov, V. A., Sadovnichii, V. A.: On the range of variation of an eigenvalue when the potential is varied.Dokl. Math. 68 247-252 (2003), Translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 392 592-597 (2003). Zbl 1143.34325, MR 2082849 |
| Reference:
|
[4] Ezhak, S. S.: On the estimates for the minimum eigenvalue of the Sturm-Liouville problem with integral condition.English J. Math. Sci., New York 145 5205-5218 (2007), Translation from Sovrem. Mat. Prilozh. 36 56-69 (2005). MR 2463726, 10.1007/s10958-007-0345-5 |
| . |
