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

吉首大学学报（自然科学版） ›› 2002, Vol. 23 ›› Issue (2): 46-51.

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

(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)

出版日期:2002-06-15 发布日期:2013-01-05
作者简介:喻德坚(1942-)，男，江西省南昌市人，南昌大学经济与管理学院教授，主要从事泛函分析及经济数学模型研究.
基金资助:
江西省自然科学基金资助项目(9911033)

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

(1.Economic and Management College,Nanchang University,Nanchang 330047,Jiangxi China；2.Department of Basic Course,Zhuzhou Engineering Institute,Zhuzhou 412008,Hunan China)

Online:2002-06-15 Published:2013-01-05

摘要/Abstract

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.

关键词： 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

Abstract: Some kind of abstract 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.

Key words: the boundary value problem of abstract kinetic equation, abstract Volterra integral operator, integral operator solving process, reflecting boundary condition

喻德坚, 刘小平. 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[J]. 吉首大学学报（自然科学版）, 2002, 23(2): 46-51.

YU De-Jian, LIU Xiao-Ping. Integral Operator Solving Process of Abstract Kinetic Equation With a Parameter and Reflecting Boundary Condition[J]. Journal of Jishou University(Natural Sciences Edition), 2002, 23(2): 46-51.