西北师范大学学报（自然科学版）2017，Vol.53Issue(3)：19-24,6.DOI:10.16783/j.cnki.nwnuz.2017.03.004
半线性中立型Emden-Fowler泛函微分方程的振动准则
Oscillation criteria for a certain half-linear Emden-Fowlerfunctional differential equations of neutral type
摘要
Abstract
Some new oscillation criteria are established for the half-linear Emden-Fowler functional differential equations of neutral type of the form r(t)z′(t)α-1z′(t))′+q(t)x(σ(t))β-1x(σ(t))=0,t≥t0,where z(t)=x(t)+p(t)x(τ(t)),α>0,β>0.Our results generalize and unify some known results on half-linear differential equations and Emden-Fowler type equations.Several illustrating examples are also provided to show the importance of our results.关键词
Emden-Fowler方程/半线性微分方程/Riccati方法/振动准则Key words
Emden-Fowler equation/half-linear differential equation/Riccati method/oscillation criterion分类
数理科学引用本文复制引用
吴英柱,俞元洪..半线性中立型Emden-Fowler泛函微分方程的振动准则[J].西北师范大学学报（自然科学版）,2017,53(3):19-24,6.基金项目
国家自然科学青年基金资助项目(11501131) （11501131）
广东省科技厅产学研合作项目(2015B090903084) （2015B090903084）
广东省高等学校优秀青年教师培养计划资助项目(YQ2015117) （YQ2015117）
