On a third-order boundary value problem at resonance on the half-line

Iyase, S.A . (2018) On a third-order boundary value problem at resonance on the half-line. Arabian Journal of Mathematics.

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Abstract

In this paper, we establish existence of solutions for the following boundary value problem on the half-line: (q(t)u�� (t)) � = g(t, u(t), u� (t), u�� (t)), t ∈ (0,∞) subject to the boundary conditions u� (0) = �m i=1 αi � ξi 0 u(t)dt, u(0) = 0, limt→∞ q(t)u�� (t) = 0. We establish sufficient conditions for the existence of at least one solution using coincidence degree arguments. An example is provided to validate our result.

Item Type:	Article
Subjects:	Q Science > Q Science (General) Q Science > QA Mathematics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Mrs Patricia Nwokealisi
Date Deposited:	14 Nov 2018 09:03
Last Modified:	14 Nov 2018 09:03
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/12117

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