含第一类临界参数抽象动力方程边值问题之积分算子求解法

数学物理学报

含第一类临界参数抽象动力方程边值问题之积分算子求解法

喻德坚, 刘小平

东北大学东软信息技术学院(南海) 株洲工学院株州 412008

出版日期:2003-08-25 发布日期:2003-08-25
基金资助:
江西省自然科学基金资助(9911033)

Integral Operator Solving Process of the Boundary Value Problems of Abstract Kinetic Equation with the First Kind of Critical Parameters

YU De-Jian, LIU Xiao-Ping

东北大学东软信息技术学院(南海) 株洲工学院株州 412008

Online:2003-08-25 Published:2003-08-25
Supported by:
江西省自然科学基金资助(9911033)

摘要/Abstract

摘要：

该文讨论了一类抽象Volterra型积分算子，利用此获得了含第一类临界参数的抽象动力方程边值问题的解。这种新的求解法我们称为积分算子求解法。

关键词: 第一类临界参数;抽象动力方程;抽象olterra型积分算子;积分算子求解法

Abstract:

In this paper the authors study some kind of abstrct volterra integral operator, and solve the boundary value problems of abstract kinetic equation with the first kind o f critical parameter by virtue of the above study. The new solving process is named as integral operator solving process.


Key words: First kind of critical parameter, Abstract kinetic e quation, Abstract Volterra integral operator, Integral operator solving process.

中图分类号:

47N55

喻德坚, 刘小平. 含第一类临界参数抽象动力方程边值问题之积分算子求解法[J]. 数学物理学报, 2003, 23(4): 401-409.

YU De-Jian, LIU Xiao-Ping. Integral Operator Solving Process of the Boundary Value Problems of Abstract Kinetic Equation with the First Kind of Critical Parameters[J]. Acta mathematica scientia,Series A, 2003, 23(4): 401-409.