Green function of fourth-order differential operator with eigenparameter-dependent boundary and transmission conditions

被引：0
|
作者：
Xin-yan Zhang
Jiong Sun
机构：
[1] Inner Mongolia University of Finance and Economics,School of Statistics and Mathematics
[2] Inner Mongolia University,School of Mathematical Sciences
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2017年 / 33卷
关键词：
fourth-order differential operator; eigenparameter-dependent boundary conditions; transmission conditions; eigenvalues; Green function; 34L10; 47E05; 34B27;
D O I：
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中图分类号：
学科分类号：
摘要：
We investigate a class of fourth-order regular differential operator with transmission conditions at an interior discontinuous point and the eigenparameter appears not only in the differential equation but also in the boundary conditions. We prove that the operator is symmetric, construct basic solutions of differential equation, and give the corresponding Green function of the operator is given.
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页码：311 / 326
页数：15
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