一类带不定权函数的奇型Sturm-Liouville算子的局部可定性(英文)  

Local Definitizability of a Singular Sturm-Liouville Operator with Indefinite Weight

作　　者：杨秋霞[1,2] 王万义[1] 

机构地区：[1]内蒙古大学数学科学学院,内蒙古呼和浩特010021 [2]德州学院计算机系,山东德州253023

出　　处：《应用数学》2012年第1期150-159,共10页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(10961019);the "211 Project" Innovative Talents Training Program of Inner Mongolia University

摘　　要：研究一类带不定权函数的奇型Sturm-Liouville算子,给出相应自伴算子在无穷点邻域的局部可定性.In this paper,we consider a singular Sturm-Liouville operator with an indefinite weight function.Moreover,we characterize the local definitizability of the corresponding self-adjoint operator in a neighborhood of ∞.

关 键 词：STURM-LIOUVILLE算子 不定权 可定型化 

分 类 号：O175.3[理学—数学]