左定四阶微分算子的特征值计算  

Computing Eigenvalues of Left-Definite Fourth-Order Differential Operators

作　　者：王国君[1] 高云兰[1] 廉玉婷 郭慕瑶 

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：《数学的实践与认识》2015年第24期279-283,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11171295);内蒙古工业大学科学基金(ZD201409)

摘　　要：讨论了一类具有耦合边界条件的左定四阶微分算子,利用具有耦合边界条件的左定四阶微分算子和其相应的右定四阶微分算子的关系,最终给出左定四阶微分算子特征值的计算方法.In this paper, we study the left-definite regular self-adjoint differential operators with coupled boundary conditions. Using the relationship between the left-definite differen- tial operators with coupled boundary conditions and the right-definite differential operators of dimension four with coupled boundary conditions, we give an algorithm to compute eigen- values of the problems of left-definite four-order differential operators.

关 键 词：微分算子 左定 右定 耦合边界条件 

分 类 号：O175.3[理学—数学]