对两类积分方程“核”与“解”命题的求证  

Seeking To Prove The Propositions To Two Kinds Of Integral Equations "Nuclear" And" Solution"

作　　者：吴松年[1] 

机构地区：[1]安徽省铜陵市委党校,铜陵244000

出　　处：《阜阳师范学院学报（自然科学版）》2000年第1期11-16,共6页Journal of Fuyang Normal University(Natural Science)

摘　　要：本文基于工程实际提出了常用的“F”与“V”两类积分方程的基本形式,从中抽象出“核”的不同定义式,论证了“核”方程“Fredholm”定理与两类积分方程解存在唯一性定理的主要命题,并举例应用两类积分问题的求解方法。On the basis of engineering Practice,this article puts forward the basic forms of two kinds of common integral equations 'F'and'V' ,from which it draws out different definitions of 'nuclear' ,proves the chiet propositions of 'Fredholm' theorem of 'nuclear' equation and the sole theorem of the two kinds of integral equations ,and takes examples for solutions of applying the two kinds of integral equations.

关 键 词：积分方程 核 解 F类 V类 柯西核 弱奇性核 

分 类 号：O175.5[理学—数学]