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非线性二阶泛函微分方程的振动准则
引用本文:仉志余.非线性二阶泛函微分方程的振动准则[J].系统科学与数学,2000,20(1):001-010.
作者姓名:仉志余
作者单位:仉志余(华北工学院专科学校, 太原 030008);周勇(湘潭大学数学系, 湘潭 411105)
基金项目:国家自然科学基金资助课题.
摘    要:建立了非线性二阶泛函微分方程

关 键 词:泛函微分方程    振动准则    强超线性  弱超线性.
修稿时间:1997年3月4日

Oscillation Criteria for Nonlinear Functional Differential Equations of Second Order
Zhi Yu ZHANG,Yong ZHOU,Yuan Hong YU.Oscillation Criteria for Nonlinear Functional Differential Equations of Second Order[J].Journal of Systems Science and Mathematical Sciences,2000,20(1):001-010.
Authors:Zhi Yu ZHANG  Yong ZHOU  Yuan Hong YU
Institution:North China College of Technology,Taiyuan 030008,P.R.China;(2)Xiangtan Univ.,Xiangtan 411105,P.R.China;(3)Inst.of Applied Math.,Academia Sinica,Beijing 100080,P.R.China
Abstract:in the present paper several oscillation criteria for the nonlinear functional differential equations of second order of the form be(t, x(t)), x'(t)]' f(t, x(t), x(g(t)), X'(t), X'(h(t))) =0 are established. The results obtained improve, generalize and unify some theorems in the literature 1-8].
Keywords:Functional differential equation  oscillation criterion  strong superlinear  weak superlinear  
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