The Sturm Liouville Problems with a random variable in Boundary Conditions
DOI:
https://doi.org/10.31686/ijier.vol5.iss2.620Abstract
We discussed the Sturm-Liouville problems with random variableξn involving in bound-ary conditions which represent a support coefficient for elastic rope. We have aconclusion that if the random variable in the boundary condition have convergence property, then the eigenvalues will also have a similar convergence property. We also give an asymptotic formula to approximate the large eigenvalues. This formula give an asymptotic relationship between eigenvalues and the support coefficient ξn when the eigenvalues are very large.
Downloads
References
T. N. Harutyunyan MATEMATIQKI VESNIK, 285 -294 , (60) 2008: The Dependence of the eigenvalues of the Sturm-Liouville Problem on Boundary Conditions
Kong, A. Zettl Journal of Differential Equations Volume 126, Issue 2, 10 Pages 389 - 407, April DOI: https://doi.org/10.1006/jdeq.1996.0056
: Dependence of Eigenvalues of SturmLiouville Problems on the Boundary
Qingkai Kong, Hongyou Wu, Anton Zettl Journal of Differential Equations Volume 156, Issue
, 10 Pages 328 - 354, August 1999: Dependence of the nth SturmLiouville Eigenvalue on the Problem DOI: https://doi.org/10.1006/jdeq.1998.3613
A.Zettl American Mathematical Society: 94 - 95, 2005: Sturm-Liouville Theory
Z. Akdogan, M. Demirci, O. Sh. Mukhtarov Acta Applicandae Mathematica: Volume 86,
Issue 3, pp 329 - 344 May 2005: Discontinuous SturmLiouville Problems with Eigenparameter- Dependent Boundary and Transmissions Conditions DOI: https://doi.org/10.1007/s10440-004-7466-3
Downloads
Published
Issue
Section
License
Copyright (c) 2017 Hui Wu
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.
Copyrights for articles published in IJIER journals are retained by the authors, with first publication rights granted to the journal. The journal/publisher is not responsible for subsequent uses of the work. It is the author's responsibility to bring an infringement action if so desired by the author for more visit Copyright & License.
How to Cite
