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Oscillation of odd order delay differential equations
Authors:Pitambar Das
Institution:1. Department of Mathematics, Berhampur University, 760 007, Berhampur, India
Abstract:In this paper, we obtain the sufficient and necessary conditions for all solutions of the odd-order nonlinear delay differential equation.x (n)+Q(t)f(x(g(t)))=0 to be oscillatory. In particular, ifn=1, Q(t)>0, f(x)=x α, where α∈(0,1) and is a ratio of odd integers andg(t)=t?? for some ?>0, then every solution of (*) oscillates if and only if ∫Q(s)ds=∞.
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