Some estimates for the minimal eigenvalue of the Sturm-Liouville problem with third-type boundary conditions

Elena Karulina

Mathematica Bohemica (2011)

  • Volume: 136, Issue: 4, page 377-384
  • ISSN: 0862-7959

Abstract

top
We consider the Sturm-Liouville problem with symmetric boundary conditions and an integral condition. We estimate the first eigenvalue λ 1 of this problem for different values of the parameters.

How to cite

top

Karulina, Elena. "Some estimates for the minimal eigenvalue of the Sturm-Liouville problem with third-type boundary conditions." Mathematica Bohemica 136.4 (2011): 377-384. <http://eudml.org/doc/196702>.

@article{Karulina2011,
abstract = {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.},
author = {Karulina, Elena},
journal = {Mathematica Bohemica},
keywords = {Sturm-Liouville problem; minimal eigenvalue; Sturm-Liouville problem; minimal eigenvalue},
language = {eng},
number = {4},
pages = {377-384},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some estimates for the minimal eigenvalue of the Sturm-Liouville problem with third-type boundary conditions},
url = {http://eudml.org/doc/196702},
volume = {136},
year = {2011},
}

TY - JOUR
AU - Karulina, Elena
TI - Some estimates for the minimal eigenvalue of the Sturm-Liouville problem with third-type boundary conditions
JO - Mathematica Bohemica
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 136
IS - 4
SP - 377
EP - 384
AB - 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.
LA - eng
KW - Sturm-Liouville problem; minimal eigenvalue; Sturm-Liouville problem; minimal eigenvalue
UR - http://eudml.org/doc/196702
ER -

References

top
  1. Egorov, Yu., Kondratiev, V., On Spectral Theory of Elliptic Operators, Birkhäuser, Basel (1996). (1996) Zbl0855.35001MR1409364
  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. 
  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). (2003) Zbl1143.34325MR2082849
  4. Ezhak, S. S., 10.1007/s10958-007-0345-5, English J. Math. Sci., New York 145 5205-5218 (2007), Translation from Sovrem. Mat. Prilozh. 36 56-69 (2005). (2005) MR2463726DOI10.1007/s10958-007-0345-5

NotesEmbed ?

top

You must be logged in to post comments.