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DOI Prefix 10.20431 |
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International Journal of Scientific and Innovative Mathematical Research
Volume 5, Issue 6, 2017, Page No: 34-42.
On Oscillatory Behavior of Solutions of Third-Order Nonlinear Differential Equations
G. Narender, V.V.L. Deepthi,S. Indira
CVR College of Engineering, Department of Humanities & Sciences, Vatunagar, Mangalpalli(V), Ibrahimpatnam(M), R.R.Dist, Telangana State, India.
Citation :G. Narender,V.V.L. Deepthi,S. Indira, On Oscillatory Behavior of Solutions of Third-Order Nonlinear Differential Equations International Journal of Scientific and Innovative Mathematical Research 2017,5(6) : 25-33.
Abstract
In this paper we investigate the behavior of the bounded solutions of a class of third order nonlinear differential equations (r(x)(r(x)y1(x))1)1 + q(x)y1(x)+p(x)yλ(x)=0 has been studied with p(x) < 0, q(x)≥0,q 1 (x)>0 for x ∈(a,∞) Also the necessary and sufficient condition for any of its solutions to be oscillatory was considered.
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