两区间上三阶边值问题的特征值的依赖性  

Dependence of Eigenvalues of Two-Interval Third-Order Boundary Value Problems

作　　者：李梦磊 敖继军[1] LI Menglei;AO Jijun(College of Sciences,Inner Mongolia University of Technology,Hohhot 010051,China)

机构地区：[1]内蒙古工业大学理学院,内蒙古呼和浩特010051

出　　处：《应用数学》2022年第1期214-223,共10页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China (11661059);Natural Science Foundation of Inner Mongolia (2021MS01020, 2017JQ07)。

摘　　要：本文考虑两区间上三阶微分方程的特征值关于各个参数的依赖性问题.将边界条件分为四点全部分离以及两点分别耦合两种情况,给出问题的特征值关于系数函数以及这两类边界条件的各个参数的连续性以及微分表达式.In this paper, the dependence of eigenvalues of two-interval third-order differential boundary value problems on various parameters is investigated. Under two types of special boundary conditions, the continuity and differentiability of eigenvalues on the problems are shown, especially the differential expressions with respect to each coefficient functions and boundary conditions are given.

关 键 词：两区间 三阶边值问题 特征值 边界条件 微分表达式 

分 类 号：O175[理学—数学]