一类卷积型微分方程的极小化问题

The Minimization Problem for a Class of Differential Equations with Convolution

通过定义在一个实Ｂａｎａｃｈ空间上的有势算子对耦合变量的分离，对一类卷积型微分方程边值问题给出了极小化方法．建立了关于Ｌａｐｌａｃｅ变换的转换最小值原理和在原空间－时间域的加权最小值原理．

A method of minimization to a class of boundary-value problems of differential equations with convolution is given by using potential operator defined in a real Banach space, separating coupled variable; the transformed minimum principle on Laplace transformation and the weighted minimum principle in original place-time domain are established.