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
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。
Abstract:
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.
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