两区间上三阶边值问题的特征值的依赖性OA北大核心CSTPCD
Dependence of Eigenvalues of Two-Interval Third-Order Boundary Value Problems
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.
李梦磊;敖继军
内蒙古工业大学理学院,内蒙古 呼和浩特 010051内蒙古工业大学理学院,内蒙古 呼和浩特 010051
数理科学
两区间三阶边值问题特征值边界条件微分表达式
Two-intervalThird-order boundary value problemEigenvalueBoundary conditionDifferential expression
《应用数学》 2022 (1)
214-223,10
Supported by the National Natural Science Foundation of China(11661059),the Natural Science Foundation of Inner Mongolia(2021MS01020,2017JQ07)
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