Oscillation of odd order delay differential equations |
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Authors: | Pitambar Das |
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Institution: | 1. Department of Mathematics, Berhampur University, 760 007, Berhampur, India
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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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