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非线性泛函微分方程解的性态

PROPERTIES FOR SOLUTIONS OF NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS

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【Author】 PENG MINGSHU(Department of Applied Mathematics, Northern Jiao Tong University, Beijing 100044)GE WEIGAO(Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081)WANG ZHUN(Department of Basic Sciences, Army Aeronautical Engineerin

【机构】北方交通大学应用数学系；北京理工大学应用数学系；陆军航空兵学院基础部基础教研室北京　100044；北京　100081；北京　101114；

【摘要】本文给出了一类非线性泛函微分方程解的性态的若干充要条件,推广了[1]的某些结论.更多还原

【Abstract】 Abstract According to the oscillatory properties, a classification is given for some extensively studied second-order nonlinear functional differential equations. Some sufficient conditions as well as sufficient and necessary conditions are also established for the oscillatory properties of solutions for these equations, which extend and improve some results obtained in [1].更多还原

【关键词】泛函微分方程；振动；增算子；不动点理论；非线性；
【Key words】 Functional differential equation； oscillation； increasing operator； fixed point theorem； nonlinearity；

【基金】国家自然科学基金（19871005号）资助项目

【文献出处】应用数学学报 ,Acta Mathematicae Applicatae Sinica , 编辑部邮箱 ,2002年02期

【分类号】O175.29
【被引频次】20
【下载频次】95

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