一类算子方程边值问题的可解性

Solvability of Boundary Value Problem of a Class of Operator Equations

利用泛函的极小函数研究了一类算子方程边值问题的可解性,得到对称正算子方程有解的充分必要条件,以及泛函存在极小函数的充分条件。并对三种边值问题的实例进行了验证。

This paper discusses the solvability of boundary value problem of a class of operator equations by using the minimum function,getting the necessary and sufficient conditions for symmetric positive solutions to operator equations,as well as the sufficient condition for the existence of the minimum function in functions. And three kinds of boundary value problems are verified by examples.