Positive solutions of complementary lidstone boundary value problems

We consider the following complementary Lidstone boundary value problem (−1)my (2m+1)(t) = F(t, y(t), y′ (t)), t ∈ [0, 1] y(0) = 0, y(2k−1)(0) = y (2k−1)(1) = 0, 1 ≤ k ≤ m. The nonlinear term F depends on y ′ and this derivative dependence is seldom investigated in the literature. Using a va...

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Main Authors:	Agarwal, Ravi P., Wong, Patricia Jia Yiing
Other Authors:	School of Electrical and Electronic Engineering
Format:	Article
Language:	English
Published:	2014
Subjects:	DRNTU::Engineering::Electrical and electronic engineering
Online Access:	https://hdl.handle.net/10356/106056 http://hdl.handle.net/10220/23969
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Institution:	Nanyang Technological University
Language:	English

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spelling	sg-ntu-dr.10356-1060562019-12-06T22:03:49Z Positive solutions of complementary lidstone boundary value problems Agarwal, Ravi P. Wong, Patricia Jia Yiing School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering We consider the following complementary Lidstone boundary value problem (−1)my (2m+1)(t) = F(t, y(t), y′ (t)), t ∈ [0, 1] y(0) = 0, y(2k−1)(0) = y (2k−1)(1) = 0, 1 ≤ k ≤ m. The nonlinear term F depends on y ′ and this derivative dependence is seldom investigated in the literature. Using a variety of fixed point theorems, we establish the existence of one or more positive solutions for the boundary value problem. Examples are also included to illustrate the results obtained. Published version 2014-10-07T03:21:15Z 2019-12-06T22:03:49Z 2014-10-07T03:21:15Z 2019-12-06T22:03:49Z 2012 2012 Journal Article Agarwal, R. P., & Wong, P. J. Y. (2014). Positive solutions of complementary lidstone boundary value problems. Electronic journal of qualitative theory of differential equations, 60, 1-20. 1417-3875 https://hdl.handle.net/10356/106056 http://hdl.handle.net/10220/23969 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 Agarwal, Ravi P. Wong, Patricia Jia Yiing Positive solutions of complementary lidstone boundary value problems
description	We consider the following complementary Lidstone boundary value problem (−1)my (2m+1)(t) = F(t, y(t), y′ (t)), t ∈ [0, 1] y(0) = 0, y(2k−1)(0) = y (2k−1)(1) = 0, 1 ≤ k ≤ m. The nonlinear term F depends on y ′ and this derivative dependence is seldom investigated in the literature. Using a variety of fixed point theorems, we establish the existence of one or more positive solutions for the boundary value problem. Examples are also included to illustrate the results obtained.
author2	School of Electrical and Electronic Engineering
author_facet	School of Electrical and Electronic Engineering Agarwal, Ravi P. Wong, Patricia Jia Yiing
format	Article
author	Agarwal, Ravi P. Wong, Patricia Jia Yiing
author_sort	Agarwal, Ravi P.
title	Positive solutions of complementary lidstone boundary value problems
title_short	Positive solutions of complementary lidstone boundary value problems
title_full	Positive solutions of complementary lidstone boundary value problems
title_fullStr	Positive solutions of complementary lidstone boundary value problems
title_full_unstemmed	Positive solutions of complementary lidstone boundary value problems
title_sort	positive solutions of complementary lidstone boundary value problems
publishDate	2014
url	https://hdl.handle.net/10356/106056 http://hdl.handle.net/10220/23969
_version_	1681041669363859456

Positive solutions of complementary lidstone boundary value problems

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