关于递推关系的k项边值问题  

A k-Term Boundary Value Problem on Recurrence Relations

作　　者：杨伟伟[1] 赵熙强[1] 

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2010年第8期155-158,共4页Periodical of Ocean University of China

基　　金：国家自然科学基金项目(10771199)资助

摘　　要：首先,当三次递推关系有2个相等的特征根时,讨论三项边值问题的求解方法;然后,根据k次递推关系的特征根的不同情况,运用克兰姆法则和发生函数方法,给出求解k项边值问题的方法;最后,通过实例演示了本文介绍的方法。Firstly,when the 3-th recurrence relation has two equal characteristic roots,a method is proposed for solving a three term boundary value problem.Secondly,according to the various cases of characteristic roots of k-th recurrence relation,a approach of constructing solutions of a k-term boundary value problem is given by using the Cramer＇s rule and the method of generating function.Finally,two examples are presented to illustrate the method in this paper.

关 键 词：边值问题 递推关系 发生函数 克兰姆法则 

分 类 号：O157.1[理学—数学]