| 一类多时滞微分积分方程周期解的存在性和唯一性 |
| |
| 引用本文： | 白星华.一类多时滞微分积分方程周期解的存在性和唯一性[J].临沂师范学院学报,2009,31(6):22-25. |
| |
| 作者姓名： | 白星华 |
| |
| 作者单位： | 阳泉职业技术学院师范分院,山西阳泉,045200 |
| |
| 摘 要： | 考虑一类具有连续时滞和离散时滞的非线性微分积分方程x＇（t）=A（t）x（t）＋∫-∞^tC（t,s）x（s）ds＋n∑i=1fi（t,x（t-Ti（t）））周期解的存在性和唯一性问题，通过利用非线性泛函分析方法研究此类方程，获得其周期解存在且唯一性的充分条件，得到两个新的定理，这些定理推广了已有的结果．
|
| 关 键 词： | 时滞 周期解 不动点定理 |
On the Existence and Uniqueness of Periodic Solutions of a Kind of Differential-integro Equations with Multiple Delays |
| |
| BAI Xing-hua.On the Existence and Uniqueness of Periodic Solutions of a Kind of Differential-integro Equations with Multiple Delays[J].Journal of Linyi Teachers' College,2009,31(6):22-25. |
| |
| Authors: | BAI Xing-hua |
| |
| Institution: | BAI Xing-hua (Teachers＇ College Attached to Yangquan Vocational and Technical College, Yangquan Shanxi 045200, China) |
| |
| Abstract: | In this paper we discuss the existence and uniqueness of periodic solution of a kind of continuous time-delay and discrete time-delay nonlinear differential integral equation x＇（t）=A（t）x（t）＋∫-∞^tC（t,s）x（s）ds＋n∑i=1fi（t,x（t-Ti（t）））By using non-linear functional analysis method for such equations, we have obtained the sufficient condition for the existence and uniqueness of periodic solutions and got two new theorems, which expand the existing results. |
| |
| Keywords: | time-delay periodic solutions fixed point theorem |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
