中立型Emden-Fowler泛函微分方程的振动准则  

Oscillation for Emden-Fowler Functional Differential Equations of Neutral Type

作　　者：吴英柱[1] WU Ying-zhu(Department Mathematics Guangdong University of Petrochemical Technology, Maoming 525000, Chin)

机构地区：[1]广东石油化工学院数学系,广东茂名525000

出　　处：《数学的实践与认识》2017年第10期277-284,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金青年基金项目(11501131);广东省科技厅产学研合作项目(2015B090903084);广东省高等学校优秀青年教师培养计划资助项目(YQ2015117)

摘　　要：建立了中立型Emden-Fowler泛函微分方程(r(t)z′(t)|^(α-1)z′(t))′+q(t)|x(δ(t))|^(β-1)x(δ(t))=0,t≥t_0的若干新的振动准则,其中z(t)=x(t)+p(t)x(τ(t)),α>0,β>0为常数.所得的结果推广和改进了近期文献的某些熟知的结果.In this paper we establish some new oscillation criteria for the generalized Emden- Fowler functional differential equations of neutral type of the form（r（t）｜z＇（t）｜a-1z＇（t））＋q（t）｜x（σ（t））｜β-1x（σ（t））=0,t≥t0 Where z（t）=x（t）＋p（t）x（τ（t））,a〉0and β〉0.Our results improve some known results which were published recently in the literatures.

关 键 词：EMDEN-FOWLER方程 中立型 RICCATI变换 振动准则 

分 类 号：O175[理学—数学]