| 一类半线性积分-微分方程几乎自守温和解的存在惟一性和稳定性 |
| |
| 引用本文： | 李希亮,韩玉良.一类半线性积分-微分方程几乎自守温和解的存在惟一性和稳定性[J].山东大学学报(自然科学版),2013(12):30-34,41. |
| |
| 作者姓名： | 李希亮 韩玉良 |
| |
| 作者单位： | [1]上海师范大学数理学院,上海200235 [2]山东工商学院数学与信息科学学院,山东烟台264005 |
| |
| 基金项目： | 国家自然科学基金资助项目（11201266,11026150,11171191,11026098）;中国博士后科学基金面上资助项目（2013M541534）;上海市博士后科研资助计划面上项目（13R21415600） |
| |
| 摘 要： | 研究了一类半线性积分-微分方程存在惟一的几乎自守温和解的充分条件，并分析了该几乎自守解的渐近稳定性质。
|
| 关 键 词： | 积分-微分方程 几乎自守函数 指数稳定 温和解 |
Existence and uniqueness of almost automorphic mild solutions to a class of semilinear integro-differential equations |
| |
| LI Xi-liang,HAN Yu-liang.Existence and uniqueness of almost automorphic mild solutions to a class of semilinear integro-differential equations[J].Journal of Shandong University(Natural Science Edition),2013(12):30-34,41. |
| |
| Authors: | LI Xi-liang HAN Yu-liang |
| |
| Institution: | 1. College of Mathematics and Science, Shanghai Normal University, Shanghai 200235, China; 2. School of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, Shandong, China) |
| |
| Abstract: | Sufficient conditions for the existence and uniqueness of almost automorphic mild solution to a class of semilinear integro-differential equations are established. The asymptotic stability property of the uniqueness almost auto-morphic mild solution is analyzed. |
| |
| Keywords: | integro-differential equations almost automorphic functions exponential stability mild solutions |
| 本文献已被 维普 等数据库收录！ |
