Please use this identifier to cite or link to this item:
https://hdl.handle.net/10356/88519
Title: | Eigenvalues of higher order Sturm-Liouville boundary value problems with derivatives in nonlinear terms | Authors: | Wong, Patricia Jia Yiing | Keywords: | Sturm-Liouville Boundary Value Problems DRNTU::Engineering::Electrical and electronic engineering Eigenvalues |
Issue Date: | 2015 | Source: | Wong, P. J. Y. (2015). Eigenvalues of higher order Sturm-Liouville boundary value problems with derivatives in nonlinear terms. Boundary Value Problems, 2015, 12-. doi:10.1186/s13661-014-0227-y | Series/Report no.: | Boundary Value Problems | Abstract: | We shall consider the Sturm-Liouville boundary value problem y(m)(t)+λF(t,y(t),y′(t),…,y(q)(t))=0, t∈(0,1), y(k)(0)=0, 0≤k≤m−3, ζy(m−2)(0)−θy(m−1)(0)=0, ρy(m−2)(1)+δy(m−1)(1)=0 where m≥3, 1≤q≤m−2, and λ>0. It is noted that the boundary value problem considered has a derivative-dependent nonlinear term, which makes the investigation much more challenging. In this paper we shall develop a new technique to characterize the eigenvalues λ so that the boundary value problem has a positive solution. Explicit eigenvalue intervals are also established. Some examples are included to dwell upon the usefulness of the results obtained. | URI: | https://hdl.handle.net/10356/88519 http://hdl.handle.net/10220/45848 |
ISSN: | 1687-2762 | DOI: | 10.1186/s13661-014-0227-y | Schools: | School of Electrical and Electronic Engineering | Rights: | © 2015 Wong; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited. | Fulltext Permission: | open | Fulltext Availability: | With Fulltext |
Appears in Collections: | EEE Journal Articles |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Eigenvalues of higher order Sturm-Liouville boundary value problems with derivatives in nonlinear terms.pdf | 1.25 MB | Adobe PDF | View/Open |
SCOPUSTM
Citations
50
5
Updated on Mar 27, 2024
Web of ScienceTM
Citations
50
4
Updated on Oct 24, 2023
Page view(s)
325
Updated on Mar 29, 2024
Download(s) 50
91
Updated on Mar 29, 2024
Google ScholarTM
Check
Altmetric
Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.