Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/106056
Title: Positive solutions 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. Y. (2014). Positive solutions of complementary lidstone boundary value problems. Electronic journal of qualitative theory of differential equations, 60, 1-20.
Series/Report no.: Electronic journal of qualitative theory of differential equations
Abstract: 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.
URI: https://hdl.handle.net/10356/106056
http://hdl.handle.net/10220/23969
ISSN: 1417-3875
Rights: © 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.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles

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