一类三阶微分算子的耗散性研究  

Study on Dissipation of a Class of General Third-Order Differential Operators

作　　者：曹文华 高云兰[1] 

机构地区：[1]内蒙古工业大学理学院,内蒙古 呼和浩特

出　　处：《应用数学进展》2022年第9期6616-6620,共5页Advances in Applied Mathematics

摘　　要：相比于特殊的三阶微分算式,本文研究了一类具有一般性的三阶微分算式,同时给出一组耦合型边界条件,在此基础上定义了一个新的算子L,进而证明了当边界条件的系数满足一定的条件时,算子L是耗散算子,且该算子没有实的特征值。Compared with the special third-order differential equation, in this paper, a class of general third-order differential equations are studied, and a set of coupled boundary conditions are given. On this basis, a new operator is defined. It is proved that when the coefficients of the boundary con-ditions satisfy certain conditions, the operator is a dissipative operator, and the operator has no real eigenvalue.

关 键 词：微分算式 边界条件 耗散算子 特征值 

分 类 号：O175[理学—数学]