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积分双半群与抽象动力方程的可解性
引用本文:许跟起.积分双半群与抽象动力方程的可解性[J].系统科学与数学,1996,16(3):270-280.
作者姓名:许跟起
作者单位:山西大学数学系
基金项目: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.

关 键 词:积分双半群  基本性质  抽象动力方程  边值问题  可解性

INTEGRATED BISEMIGROUPS AND SOLVABILITY OF THE ABSTRACT KINETIC EQUATIONS
Xu Genqi.INTEGRATED BISEMIGROUPS AND SOLVABILITY OF THE ABSTRACT KINETIC EQUATIONS[J].Journal of Systems Science and Mathematical Sciences,1996,16(3):270-280.
Authors:Xu Genqi
Institution:Department of Mathematics,Shanxi University,Taiyun 030006
Abstract: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.
Keywords:Integrated bisemigroup  abstract kinetic equation  boundary value problems  solvability    
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