含参数抽象动力方程的积分算子求解法——具反射边界条件的情形  

Integral Operator Solving Process of Abstract Kinetic Equation With a Parameter and Reflecting Boundary Condition

作　　者：喻德坚[1] 刘小平[2] 

机构地区：[1]南昌大学经济与管理学院,江西南昌330047 [2]株洲工学院基础课部,湖南株洲412008

出　　处：《吉首大学学报（自然科学版）》2002年第2期46-51,共6页Journal of Jishou University(Natural Sciences Edition)

基　　金：江西省自然科学基金资助项目 (99110 33)

摘　　要：将一类抽象Volterra型线性积分算子用于求解抽象动力方程边值问题 ,此方法称为积分算子求解法 .这为求解抽象动力方程边值问题提供了一种新的、简单而直接的方法 ,可用来求解具有反射边界条件、含参数的抽象动力方程边值问题 .Volterra linear integral operators is studied in order to solve the boundary value problems of abstract kinetic equation. The solving process is named as integral operator solving process, thus it is fended provide a new, simple and immediate solving process of the boundary value problems of abstract kinetic equations. In the paper we solve the boundary value problems of abstract kinetic equation with a parameter and reflecting boundary condition by the integral operator solving process.

关 键 词：参数 抽象动力方程 边值问题 抽象Volterra型积分算子 积分算子求解法 反射边界条件 Banch空间 

分 类 号：O177.6[理学—数学]