|
|||||
|
|
| Pseudo Almost Periodic Solutions for Second Order Abstract Differential Equations | |
| 作者姓名： | 谢灵红 顾晓慧 谢建华 |
| 作者单位： | Department of Applied Mathematics，Southwest Jiaotong University，College of Mathematics，Sichuan University，Department of Applied Mechanics and Engineering，Southwest Jiaotong University Chengdu 610031，China，Chengdu 610064，China，Chengdu 610031，China |
| 基金项目： | 国家高等教育博士研究基金 |
| 摘 要： | Thenotionofpseudoalmostperiodicfunctions ,anextensionofthealmostperiodicfunctions,wasintroducedbyZhang1] in 1 992 ,andhasfoundmanyapplicationsinthetheoryofdifferentialequations.Fordetails,onecanrefertoRefs.2 4 ].Inthispaper,letEdenoteaBanachspace .Itis… |
| 关 键 词： | 二次抽象微分方程 初值问题 必要条件 伪周期解 充要条件 |
Pseudo Almost Periodic Solutions for Second Order Abstract Differential Equations |
|
| Xie Linghong,Gu Xiaohui Xie Jianhua.Pseudo Almost Periodic Solutions for Second Order Abstract Differential Equations[J].Journal of Southwest Jiaotong University,2003,11(1):98-102. | |
| Authors: | Xie Linghong Gu Xiaohui Xie Jianhua |
| Institution: | 1. Department of Applied Mathematics, Southwest Jiaotong University, Chengdu 610031, China 2. College of Mathematics, Sichuan University, Chengdu 610064, China 3. Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, China |
| Abstract: | On the assumption that the Cauchy problem for incomplete second order abstract differential equation (u″(t)=Au(t), -∞＜t＜∞) is well-posed and the Cauchy problem for complete second order abstract differential equation (u″(t)+A1u′(t)+A0u(t)=0, t≥0) is strongly well-posed, the necessary conditions for their solutions to be pseudo almost periodic are derived. |
| Keywords: | pseudo almost periodic function second order abstract differential equation Cauchy problem necessary conditions |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |