文章基本信息

标题：New criteria for oscillation of nonlinear neutral differential equations
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作者：Osama Moaaz
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-11
DOI：10.1186/s13662-019-2418-4
出版社：Hindawi Publishing Corporation
摘要：The aim of this work is to offer sufficient conditions for the oscillation of neutral differential equation second order$$ \bigl( r ( t ) \bigl[ \bigl( y ( t ) +p ( t ) y \bigl( \tau ( t ) \bigr) \bigr) ^{\prime } \bigr] ^{\gamma } \bigr) ^{\prime }+f \bigl( t,y \bigl( \sigma ( t ) \bigr) \bigr) =0, $$ where $\int ^{\infty }r^{-1/\gamma } ( s ) \,\mathrm{d}s= \infty $. Based on the comparison with first order delay equations and by employ the Riccati substitution technique, we improve and complement a number of well-known results. Some examples are provided to show the importance of these results.
关键词：Neutral delay differential equations ; Oscillation criteria ;