Non-oscillatory behaviour of higher order functional differential equations of neutral type

In this paper, we obtain sufficient conditions so that the neutral functional differential equation $$displaylines{ ig[r(t) [y(t)-p(t)y(au (t))]'ig]^{(n-1)} + q(t) G(y(h(t))) = f(t) }$$ has a bounded and positive solution. Here $ngeq 2$; $q,au, h$ are continuous functions with $q(t)...

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Bibliographic Details
Main Authors: Laxmi Narayan Padhy, Prayag Prasad Mishra, Niyati Misra, Radhanath Rath
Format: Article
Language:English
Published: Texas State University 2007-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2007/163/abstr.html