Triple positive solutions of BVP for second order ODE with one dimensional laplacian on the half line

By applying Leggett-Williams fixed point theorem in a suitably constructed cone, we obtain the existence of at least three bounded positive solutions for a boundary value problem on the half line. Our result improves and complements some of the work in the literature.

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Main Authors: Liu, Yuji, Wong, Patricia Jia Yiing
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2014
Subjects:
Online Access:https://hdl.handle.net/10356/106169
http://hdl.handle.net/10220/23958
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1061692019-12-06T22:05:45Z Triple positive solutions of BVP for second order ODE with one dimensional laplacian on the half line Liu, Yuji Wong, Patricia Jia Yiing School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering By applying Leggett-Williams fixed point theorem in a suitably constructed cone, we obtain the existence of at least three bounded positive solutions for a boundary value problem on the half line. Our result improves and complements some of the work in the literature. Published version 2014-10-07T01:03:52Z 2019-12-06T22:05:45Z 2014-10-07T01:03:52Z 2019-12-06T22:05:45Z 2012 2012 Journal Article Liu, Y., & Wong, P. J. Y. (2012). Triple positive solutions of BVP for second order ODE with one dimensional laplacian on the half line. Electronic journal of qualitative theory of differential equations, 23, 1-28. 1417-3875 https://hdl.handle.net/10356/106169 http://hdl.handle.net/10220/23958 en Electronic journal of qualitative theory of differential equations © 2012 Electronic Journal of Qualitative Theory of Differential Equations (EjQTDE). This paper was published in Electronic Journal of Qualitative Theory of Differential Equations (EjQTDE) and is made available as an electronic reprint (preprint) with permission of Electronic Journal of Qualitative Theory of Differential Equations (EjQTDE). 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. application/pdf
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic DRNTU::Engineering::Electrical and electronic engineering
spellingShingle DRNTU::Engineering::Electrical and electronic engineering
Liu, Yuji
Wong, Patricia Jia Yiing
Triple positive solutions of BVP for second order ODE with one dimensional laplacian on the half line
description By applying Leggett-Williams fixed point theorem in a suitably constructed cone, we obtain the existence of at least three bounded positive solutions for a boundary value problem on the half line. Our result improves and complements some of the work in the literature.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Liu, Yuji
Wong, Patricia Jia Yiing
format Article
author Liu, Yuji
Wong, Patricia Jia Yiing
author_sort Liu, Yuji
title Triple positive solutions of BVP for second order ODE with one dimensional laplacian on the half line
title_short Triple positive solutions of BVP for second order ODE with one dimensional laplacian on the half line
title_full Triple positive solutions of BVP for second order ODE with one dimensional laplacian on the half line
title_fullStr Triple positive solutions of BVP for second order ODE with one dimensional laplacian on the half line
title_full_unstemmed Triple positive solutions of BVP for second order ODE with one dimensional laplacian on the half line
title_sort triple positive solutions of bvp for second order ode with one dimensional laplacian on the half line
publishDate 2014
url https://hdl.handle.net/10356/106169
http://hdl.handle.net/10220/23958
_version_ 1681045433151913984