非线性泛函微分方程解的性态  

PROPERTIES FOR SOLUTIONS OF NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS

作　　者：彭名书[1] 葛渭高[2] 王准[3] 

机构地区：[1]北方交通大学应用数学系,北京100044 [2]北京理工大学应用数学系,北京100081 [3]陆军航空兵学院基础部基础教研室,北京101114

出　　处：《应用数学学报》2002年第2期366-371,共6页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(19871005号)资助项目

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.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].

关 键 词：非线性 解 性态 泛函微分方程 振动 增算子 不动点理论 

分 类 号：O175.14[理学—数学]