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Title: Triple solutions of complementary Lidstone boundary value problems via fixed point theorems
Authors: Wong, Patricia Jia Yiing
Keywords: DRNTU::Engineering::Electrical and electronic engineering
Issue Date: 2014
Source: Wong, P. J. Y. (2014). Triple solutions of complementary Lidstone boundary value problems via fixed point theorems. Boundary Value Problems, 2014(1), 125-.
Series/Report no.: Boundary value problems
Abstract: We consider the following complementary Lidstone boundary value problem: (−1) m y (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. By using fixed point theorems of Leggett-Williams and Avery, we offer several criteria for the existence of three positive solutions of the boundary value problem. Examples are also included to illustrate the results obtained. We note that the nonlinear term F depends on y ′ and this derivative dependence is seldom investigated in the literature and a new technique is required to tackle the problem.
ISSN: 1687-2770
DOI: 10.1186/1687-2770-2014-125
Rights: © 2014 Wong; licensee Springer. This is an open access article distributed under the terms of the Creative Commons Attribution License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles

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