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On the oscillation of bounded solutions of higher order nonlinear neutral delay differential equations with oscillating coefficients

Journal of Basic and Environmental Sciences • 2018
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Publication Information
Authors M. M. A. El-sheikh , A. A. Soliman , M. H. Abdalla , A. M. Hassan
Keywords Oscillation, Higher order, Nonlinear dynamic equations, Riccati technique, Taylors formula
Journal Journal of Basic and Environmental Sciences
Publisher Not Available
Volume 5
Issue Not Available
Pages 44-51
publication.type International
Paper Link Not Available
Supplementary Materials Not Available
Abstract
In this paper, new sufficient conditions are established for the oscillation of all bounded solutions of higher order dynamic
equations
[r(t)(zn1(t)) ]  q(t) f (x( (t))) = 0 for t [t0,)T,
where z(t) := x(t)  p(t)x( (t)) and   0 is a constant. The obtained results extend and supplement certain known
results in literature. .