一类具有n个转移条件的三阶边值问题的有限谱  

Finite Spectrum of a Class of Third Order Boundary Value Problems with N Transmission 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》2020年第3期330-340,共11页Advances in Applied Mathematics

基　　金：国家自然科学基金(No.11661049)资助项目。

摘　　要：本文主要研究下述具有n个转移条件的三阶边值问题的有限谱对于任意正整数n,mi,i=0,1,L,n经计算至多有m0+m1+L+mn个特征值。所用的工具主要是判断函数的迭代和Rouche定理,分析的关键是不连续函数解的构造。The paper studied the following finite spectrum of third order boundary value problems with n transmission conditionsFor any positive integer n,mi,i=0,1,L,n, there are at most m0+m1+L+mn. The main tool used in this paper is iterative construction of the characteristic function and Rouche’s theorem. The key to this analysis is the construction of discontinuous function solutions.

关 键 词：转移条件 边值问题 判断函数 ROUCHE定理 

分 类 号：O17[理学—数学]