Left-definite boundary conditions of Sturm-Liouville problems when the interval shrinks to a point  

作　　者：GAO Yun-lan WANG Zhong WU Hong-you 

机构地区：[1]Department of Mathematics, Inner Mongolia University of Technology, Huhhot 010051, China [2]Department of Mathematics, ZhaoQing University, Zhaoqing 526061, China [3]Department of Mathematics, Northern Illinois University, DeKalb IL60115, USA

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2011年第1期29-37,共9页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China (10761004)

摘　　要：On the condition that the interval of the problem shrinks to a point, we investigated the separated boundary conditions Sα,β of left-definite Sturm-Liouville problem, and answered the following question： Is there a co ∈ J such that Sα,β is always left-definite or semi-left-definite for the Sturm-Liouville equation for each c ∈ （a, co）？On the condition that the interval of the problem shrinks to a point, we investigated the separated boundary conditions Sα,β of left-definite Sturm-Liouville problem, and answered the following question： Is there a co ∈ J such that Sα,β is always left-definite or semi-left-definite for the Sturm-Liouville equation for each c ∈ （a, co）？

关 键 词：Left-definite Sturm-Liouville problem semi-left-definite Sturm-Liouville problem separatedboundary condition. 

分 类 号：TU311[建筑科学—结构工程] P315.5[天文地球—地震学]