一类半线性微分方程的概自守与加权伪概自守解(英文)  

ALMOST AUTOMORPHIC AND WEIGHTED PSEUDO ALMOST AUTOMORPHIC SOLUTIONS TO SOME SEMILINEAR DIFFERENTIAL EQUATIONS

作　　者：卢丑丽[1,2] 宋晓秋[2] 张荣娟[2] 

机构地区：[1]山西农业大学信息学院文理教学部,山西030800 [2]中国矿业大学理学院,徐州221008

出　　处：《南京大学学报（数学半年刊）》2012年第2期105-114,共10页Journal of Nanjing University(Mathematical Biquarterly)

基　　金：Supported by the Fundamental Research Funds for the Central Universities(2010LKSX08)

摘　　要：概自守函数与加权伪概自守函数,其概念及应用比概周期类函数更广泛。在Banach空间,本文得到一类半线性微分方程的概自守解与加权伪概自守解的存在定理.This paper is concerned with almost automorphic and weighted pseudo almost automorphic functions, which are more general and complicated than almost periodic functions and pseudo almost periodic functions. And we prove some existence results for almost automorphic（weighted pseudo almost automorphic） mild solution to a class of semilinear differential equations in Banach space.

关 键 词：概自守 加权伪概自守 温和解 

分 类 号：O241.8[理学—计算数学]