具有转移条件的四阶微分算子自共轭边界条件的标准型  

Canonical Forms of Fourth Order Self-adjoint Differential Operators with Transmission Conditions

作　　者：李超[1] 敖继军[1] 杨美春[1] 

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051

出　　处：《内蒙古大学学报（自然科学版）》2016年第2期113-119,共7页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11301259);内蒙古自然科学基金项目(2013MS0105)

摘　　要：研究了具有转移条件的(即内部具有不连续性的)四阶正则微分算子自共轭边界条件的标准型.在Coddington条件下通过对自共轭边界条件及转移条件矩阵进行初等行变换,给出了四阶微分算子自共轭边界条件的标准型,并举例说明了问题.Canonical forms of fourth order regular self-adjoint differential operators with transmission conditions（i,e with inner discontinuities）are investigated.By elementary transformations for the self-adjoint boundary conditions and transmission conditions,canonical forms of self-adjoint boundary conditions for fourth order differential operators are obtained based on the Coddington conditions.The corresponding examples are given to illustrate the resuts.

关 键 词：四阶微分算子 转移条件 边界条件 标准型 

分 类 号：O175[理学—数学]