Solvability of three-point boundary value problems at resonance with a p-laplacian on finite and infinite intervals

Three-point boundary value problems of second-order differential equation with a p-Laplacian on finite and infinite intervals are investigated in this paper. By using a new continuation theorem, sufficient conditions are given, under the resonance conditions, to guarantee the existence of solutions...

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Main Authors: Lian, Hairong., Yang, Shu., Wong, Patricia Jia Yiing
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/98503
http://hdl.handle.net/10220/12272
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-985032020-03-07T14:00:30Z Solvability of three-point boundary value problems at resonance with a p-laplacian on finite and infinite intervals Lian, Hairong. Yang, Shu. Wong, Patricia Jia Yiing School of Electrical and Electronic Engineering Three-point boundary value problems of second-order differential equation with a p-Laplacian on finite and infinite intervals are investigated in this paper. By using a new continuation theorem, sufficient conditions are given, under the resonance conditions, to guarantee the existence of solutions to such boundary value problems with the nonlinear term involving in the first-order derivative explicitly. Published version 2013-07-25T07:31:26Z 2019-12-06T19:56:15Z 2013-07-25T07:31:26Z 2019-12-06T19:56:15Z 2012 2012 Journal Article Lian, H., Wong, P. J. Y., & Yang, S. (2012). Solvability of Three-Point Boundary Value Problems at Resonance with a p -Laplacian on Finite and Infinite Intervals. Abstract and Applied Analysis, 2012, 658010-. https://hdl.handle.net/10356/98503 http://hdl.handle.net/10220/12272 10.1155/2012/658010 en Abstract and applied analysis © 2012 Hairong Lian et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. application/pdf
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
description Three-point boundary value problems of second-order differential equation with a p-Laplacian on finite and infinite intervals are investigated in this paper. By using a new continuation theorem, sufficient conditions are given, under the resonance conditions, to guarantee the existence of solutions to such boundary value problems with the nonlinear term involving in the first-order derivative explicitly.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Lian, Hairong.
Yang, Shu.
Wong, Patricia Jia Yiing
format Article
author Lian, Hairong.
Yang, Shu.
Wong, Patricia Jia Yiing
spellingShingle Lian, Hairong.
Yang, Shu.
Wong, Patricia Jia Yiing
Solvability of three-point boundary value problems at resonance with a p-laplacian on finite and infinite intervals
author_sort Lian, Hairong.
title Solvability of three-point boundary value problems at resonance with a p-laplacian on finite and infinite intervals
title_short Solvability of three-point boundary value problems at resonance with a p-laplacian on finite and infinite intervals
title_full Solvability of three-point boundary value problems at resonance with a p-laplacian on finite and infinite intervals
title_fullStr Solvability of three-point boundary value problems at resonance with a p-laplacian on finite and infinite intervals
title_full_unstemmed Solvability of three-point boundary value problems at resonance with a p-laplacian on finite and infinite intervals
title_sort solvability of three-point boundary value problems at resonance with a p-laplacian on finite and infinite intervals
publishDate 2013
url https://hdl.handle.net/10356/98503
http://hdl.handle.net/10220/12272
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