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

J4 ›› 2013, Vol. 48 ›› Issue (12): 30-34.

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

李希亮1,2，韩玉良2

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

收稿日期:2012-12-19 出版日期:2013-12-20 发布日期:2014-01-09
作者简介:李希亮(1978- ),男,副教授,博士,研究方向为微分方程与动力系统. Email:lixiliang@amss.ac.cn
基金资助:
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)

Existence and uniqueness of almost automorphic mild solutions to
a class of semilinear integro-differential equations

LI Xi-liang1,2, HAN Yu-liang2

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

Received:2012-12-19 Online:2013-12-20 Published:2014-01-09

摘要/Abstract

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

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 automorphic mild solution is analyzed.

Key words: integro-differential equations; almost automorphic functions; exponential stability; mild solutions

中图分类号:

O175.6

李希亮1,2，韩玉良2. 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]. J4, 2013, 48(12): 30-34.

LI Xi-liang1,2, HAN Yu-liang2. Existence and uniqueness of almost automorphic mild solutions to
a class of semilinear integro-differential equations[J]. J4, 2013, 48(12): 30-34.

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed