Existence of solutions of higher order Sturm-Liouville boundary value problems

We consider a higher order Sturm-Liouville boundary value problem (BVP) where the nonlinear term involves derivatives – such cases are seldom investigated in the literature due to the complexity introduced by the derivatives. A new technique is used to obtain existence criteria for at least one posi...

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Main Author:	Wong, Patricia Jia Yiing
Other Authors:	School of Electrical and Electronic Engineering
Format:	Article
Language:	English
Published:	2018
Subjects:	Positive Solution DRNTU::Engineering::Electrical and electronic engineering Sturm–Liouville Boundary Value Problems
Online Access:	https://hdl.handle.net/10356/88955 http://hdl.handle.net/10220/46025
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Institution:	Nanyang Technological University
Language:	English

id	sg-ntu-dr.10356-88955
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spelling	sg-ntu-dr.10356-889552020-03-07T13:57:26Z Existence of solutions of higher order Sturm-Liouville boundary value problems Wong, Patricia Jia Yiing School of Electrical and Electronic Engineering International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2016) Positive Solution DRNTU::Engineering::Electrical and electronic engineering Sturm–Liouville Boundary Value Problems We consider a higher order Sturm-Liouville boundary value problem (BVP) where the nonlinear term involves derivatives – such cases are seldom investigated in the literature due to the complexity introduced by the derivatives. A new technique is used to obtain existence criteria for at least one positive solution of the BVP. We demonstrate the usefulness of the results obtained by an example with known positive solutions. Published version 2018-09-19T04:31:25Z 2019-12-06T17:14:33Z 2018-09-19T04:31:25Z 2019-12-06T17:14:33Z 2017 Journal Article Wong, P. J. Y. (2017). Existence of solutions of higher order Sturm-Liouville boundary value problems. AIP Conference Proceedings, 1863, 140015-. doi:10.1063/1.4992322 0094-243X https://hdl.handle.net/10356/88955 http://hdl.handle.net/10220/46025 10.1063/1.4992322 en AIP Conference Proceedings © 2017 The Author(s) (Published by AIP). This paper was published in AIP Conference Proceedings and is made available as an electronic reprint (preprint) with permission of the author(s) (published by AIP). The published version is available at: [http://dx.doi.org/10.1063/1.4992322]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. 4 p. application/pdf
institution	Nanyang Technological University
building	NTU Library
country	Singapore
collection	DR-NTU
language	English
topic	Positive Solution DRNTU::Engineering::Electrical and electronic engineering Sturm–Liouville Boundary Value Problems
spellingShingle	Positive Solution DRNTU::Engineering::Electrical and electronic engineering Sturm–Liouville Boundary Value Problems Wong, Patricia Jia Yiing Existence of solutions of higher order Sturm-Liouville boundary value problems
description	We consider a higher order Sturm-Liouville boundary value problem (BVP) where the nonlinear term involves derivatives – such cases are seldom investigated in the literature due to the complexity introduced by the derivatives. A new technique is used to obtain existence criteria for at least one positive solution of the BVP. We demonstrate the usefulness of the results obtained by an example with known positive solutions.
author2	School of Electrical and Electronic Engineering
author_facet	School of Electrical and Electronic Engineering Wong, Patricia Jia Yiing
format	Article
author	Wong, Patricia Jia Yiing
author_sort	Wong, Patricia Jia Yiing
title	Existence of solutions of higher order Sturm-Liouville boundary value problems
title_short	Existence of solutions of higher order Sturm-Liouville boundary value problems
title_full	Existence of solutions of higher order Sturm-Liouville boundary value problems
title_fullStr	Existence of solutions of higher order Sturm-Liouville boundary value problems
title_full_unstemmed	Existence of solutions of higher order Sturm-Liouville boundary value problems
title_sort	existence of solutions of higher order sturm-liouville boundary value problems
publishDate	2018
url	https://hdl.handle.net/10356/88955 http://hdl.handle.net/10220/46025
_version_	1681035941182963712

Existence of solutions of higher order Sturm-Liouville boundary value problems

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