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STURM COMPARISON THEOREMS FOR SECOND ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS
引用本文:Zhuang Rongkun (Dept. of Math.,Huizhou University,Huizhou 516015) Zhu Siming (Dept. of Math.,Sun Yat-sen University,Guangzhou 510275). STURM COMPARISON THEOREMS FOR SECOND ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS[J]. Annals of Differential Equations, 2006, 22(2): 234-240
作者姓名:Zhuang Rongkun (Dept. of Math.  Huizhou University  Huizhou 516015) Zhu Siming (Dept. of Math.  Sun Yat-sen University  Guangzhou 510275)
作者单位:Zhuang Rongkun (Dept. of Math.,Huizhou University,Huizhou 516015) Zhu Siming (Dept. of Math.,Sun Yat-sen University,Guangzhou 510275)
基金项目:Supported by the NNSF of China (11071907, 10571184)the NSF of Educational Department of Guangdong Province.
摘    要:In this paper, we first establish some differential inequalities and then some Sturm comparison theorems are derived for the second order neutral nonlinear differential equations. Our results generalize some classical Sturm comparison theorems.

关 键 词:非线性微分方程  微分不等式  振荡  数学分析  中性  比拟

STURM COMPARISON THEOREMS FOR SECOND ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS
Zhuang Rongkun Zhu Siming. STURM COMPARISON THEOREMS FOR SECOND ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS[J]. 微分方程年刊(英文版), 2006, 22(2): 234-240
Authors:Zhuang Rongkun Zhu Siming
Affiliation:[1]Dept. of Math., Huizhou University, Huizhou 516015 [2]Dept. of Math., Sun Yat-sen University, Guangzhou 510275
Abstract:In this paper, we first establish some differential inequalities and then some Sturm comparison theorems are derived for the second order neutral nonlinear differential equations. Our results generalize some classical Sturm comparison theorems.
Keywords:neutral type   nonlinear differential equation   differential inequality   Sturm comparison theorem   oscillation
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