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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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