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On the oscillation of second-order Emden-Fowler neutral differential equations
Authors:Tongxing Li  Zhenlai Han  Chenghui Zhang  Shurong Sun
Affiliation:1. School of Science, University of Jinan, Jinan, Shandong, 250022, P.R. China
2. School of Control Science and Engineering, Shandong University, Jinan, Shandong, 250061, P.R. China
3. Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO, 65409-0020, USA
Abstract:In this paper, we study the following second-order Emden-Fowler neutral delay differential equation $$(r(t)z'(t) )'+q(t)|x(sigma(t))|^{gamma-1}x(sigma(t))=0,$$ where $z(t)=x(t)+p(t)x(t-tau), int_{t_{0}}^{infty}frac{1}{r(t)}mathrm{d}t . We establish some new oscillation results which handle some cases not covered by known criteria.
Keywords:
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