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 Ying
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
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

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