一类线性微分方程的指数增长型伪概自守温和解  

Exponentiauy Type Pseudo Almost Automorphic Mild Solution for a Class of Linear Differential Equation

作　　者：姚慧丽 郭洺君 王晶囡 宋晓秋 YAO Hui-li;GUO Ming-jun;WNG Jing-nan;SONG Xiao-qiu(Department of Mathematics, School of Sciences, Harbin University of Science and Technology, Harbin 150080, China)

机构地区：[1]哈尔滨理工大学理学院数学系,哈尔滨150080

出　　处：《哈尔滨理工大学学报》2020年第1期140-143,共4页Journal of Harbin University of Science and Technology

基　　金：国家自然科学基金青年基金(11801122);黑龙江省自然科学基金(2018006)。

摘　　要：微分方程是基于解决各种实际问题而建立的一种数学模型,对微分方程的一个主要研究方向是各种解的存在性问题。伪概自守函数是比概自守函数、渐近概自守函数更广的函数。本文将探讨一类指数增长型的伪概自守函数在一类线性微分方程中的应用,利用C0-半群以及这类函数的有关理论,研究此类型方程指数增长型的伪概自守温和解的存在问题以及唯一问题。Differential equations are a kind of mathematical models which have been established to solve all kinds of practical problems.The existence problems of various solutions for differential equations are a main research direction.Pseudo almost automorphic functions are more wide functions than almost automorphic functions and asymptotically almost automorphic functions.The applications of exponentiauy type pseudo almost automorphic f unctions on a class of linear differential equations will be investigated,the existence problems and uniqueness problems of exponentiauy type pseudo almost automorphic mild solution of this type equations are researched by using some related theories of C0-semigroup and this type i functions in this paper.

关 键 词：微分方程 伪概自守温和解 指数增长型 C0-半群 

分 类 号：O175[理学—数学]