具有转移条件且边界条件中含有谱参数的两类三阶有限谱边值问题  

Two Classes of Third Order Boundary Value Problems of Finite Spectrum with Transmission Conditions and Spectral Parameters in the Boundary Conditions

作　　者：朱军伟 

机构地区：[1]兰州理工大学理学院,甘肃 兰州

出　　处：《应用数学进展》2019年第10期1636-1649,共14页Advances in Applied Mathematics

基　　金：兰州理工大学研究生科研创新基金(No. 56256016)资助项目。

摘　　要：本文主要研究下述具有转移条件且边界条件中含有谱参数的两类三阶有限谱边值问题对于任意正整数n,m,在边界条件含有谱参数的基础上,通过构造带有转移条件的两类三阶边值问题,经计算,至多有个特征值。所用的工具主要是判断函数的迭代和Rouche定理。In this paper, we study the following two classes of third order boundary value problems of finite spectrum with transmission conditions and spectral parameters in the boundary conditionsfor any positive integer n,m, based on the spectral parameters in the boundary conditions, we construct two classes of third order boundary value problems with transmission conditions, and it is calculated that there are at most eigenvalues. The main tool used in this paper is iterative construction of the characteristic function and Rouche’s theorem.

关 键 词：转移条件 谱参数 判断函数 ROUCHE定理 

分 类 号：O17[理学—数学]