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.
出处
《内蒙古大学学报（自然科学版）》
CAS
北大核心
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)
关键词
四阶微分算子
转移条件
边界条件
标准型
fourth order differential operator
transmission condition
boundary condition
canonical form
