Unbounded solutions of BVP for second order ODE with p-Laplacian on the half line

By applying the Leggett-Williams fixed point theorem in a suitably constructed cone, we obtain the existence of at least three unbounded 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: 2013
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Online Access:https://hdl.handle.net/10356/105704
http://hdl.handle.net/10220/17980
http://dx.doi.org/10.1007/s10492-013-0009-3
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1057042019-12-06T21:56:10Z Unbounded solutions of BVP for second order ODE with p-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 the Leggett-Williams fixed point theorem in a suitably constructed cone, we obtain the existence of at least three unbounded 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 2013-12-02T08:12:04Z 2019-12-06T21:56:10Z 2013-12-02T08:12:04Z 2019-12-06T21:56:10Z 2013 2013 Journal Article Liu, Y., & Wong, P. J. Y. (2013). Unbounded solutions of BVP for second order ODE with p-Laplacian on the half line. Applications of mathematics, 58(2), 179-204. https://hdl.handle.net/10356/105704 http://hdl.handle.net/10220/17980 http://dx.doi.org/10.1007/s10492-013-0009-3 en Applications of mathematics © 2013 Institute of Mathematics of The Academy of Sciences of the Czech Republic (published by Springer). This paper was published in Applications of Mathematics and is made available as an electronic reprint (preprint) with permission of Institute of Mathematics of The Academy of Sciences of the Czech Republic (published by Springer). The paper can be found at the following official DOI: [http://dx.doi.org/10.1007/s10492-013-0009-3]. 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
Unbounded solutions of BVP for second order ODE with p-Laplacian on the half line
description By applying the Leggett-Williams fixed point theorem in a suitably constructed cone, we obtain the existence of at least three unbounded 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 Unbounded solutions of BVP for second order ODE with p-Laplacian on the half line
title_short Unbounded solutions of BVP for second order ODE with p-Laplacian on the half line
title_full Unbounded solutions of BVP for second order ODE with p-Laplacian on the half line
title_fullStr Unbounded solutions of BVP for second order ODE with p-Laplacian on the half line
title_full_unstemmed Unbounded solutions of BVP for second order ODE with p-Laplacian on the half line
title_sort unbounded solutions of bvp for second order ode with p-laplacian on the half line
publishDate 2013
url https://hdl.handle.net/10356/105704
http://hdl.handle.net/10220/17980
http://dx.doi.org/10.1007/s10492-013-0009-3
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