积分双半群与抽象动力方程的可解性  

INTEGRATED BISEMIGROUPS AND SOLVABILITY OF THE ABSTRACT KINETIC EQUATIONS

作　　者：许跟起[1] 

机构地区：[1]山西大学数学系

出　　处：《系统科学与数学》1996年第3期270-280,共11页Journal of Systems Science and Mathematical Sciences

基　　金：山西省青年科学基金;山西省青年学科带头人专项基金

摘　　要：本文从一类抽象积分微分方程的可解性，引人积分双半群的概念，并讨论了积分双半群的一些性质．利用积分双半群，说明了一类抽象动力方程的可解性，特别是抽象动力方程边值问题的可解性．The concept of integrated bisemigroup which is related to the solvability of integral differential equations is introduced in this paper.The properties of the integrated bisemigroup are discussed,and in terms of integrated bisemigroup,the solvability of the abstract kinetic equation.is established. The results are illustrated for.boundaxy value problems of an abstract kinetic equation.

关 键 词：积分双半群 抽象动力方程 边值问题 可解性 

分 类 号：O175.24[理学—数学]