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| 非线性泛函微分方程解的性态 | |
| 引用本文： | 彭名书,葛渭高,王准.非线性泛函微分方程解的性态[J].应用数学学报,2002,25(2):366-371. |
| 作者姓名： | 彭名书 葛渭高 王准 |
| 作者单位： | 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 |
| 基金项目： | 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. |
| 关 键 词： | 泛函微分方程 振动 增算子 不动点理论 非线性 |
| 修稿时间： | 1998年10月19 |
PROPERTIES FOR SOLUTIONS OF NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS |
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| PENG MINGSHU.PROPERTIES FOR SOLUTIONS OF NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS[J].Acta Mathematicae Applicatae Sinica,2002,25(2):366-371. | |
| Authors: | PENG MINGSHU |
| 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]. |
| Keywords: | Functional differential equation oscillation increasing operator fixed point theorem nonlinearity |
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