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Title: Eigenvalues of complementary Lidstone boundary value problems
Authors: Agarwal, Ravi P.
Wong, Patricia Jia Yiing
Keywords: DRNTU::Engineering::Electrical and electronic engineering
Issue Date: 2012
Source: Agarwal, R. P., & Wong, P. J. (2012). Eigenvalues of complementary Lidstone boundary value problems. Boundary Value Problems, 2012(1), 49.
Series/Report no.: Boundary value problems
Abstract: We consider the following complementary Lidstone boundary value problem (−1)my(2m+1)(t)=λF(t,y(t),y′(t)),t∈(0,1)y(0)=0,y(2k−1)(0)=y(2k−1)(1)=0,1≤k≤m where λ > 0. The values of λ are characterized so that the boundary value problem has a positive solution. Moreover, we derive explicit intervals of λ such that for any λ in the interval, the existence of a positive solution of the boundary value problem is guaranteed. Some examples are also included to illustrate the results obtained. Note that the nonlinear term F depends on y' and this derivative dependence is seldom investigated in the literature.
ISSN: 1687-2770
DOI: 10.1186/1687-2770-2012-49
Rights: © 2012 Agarwal and Wong (Springer). This paper was published in Boundary Value Problems and is made available as an electronic reprint (preprint) with permission of Agarwal and Wong. The paper can be found at the following official DOI:  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.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles

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