经典Sturm-Liouvlle理论的完备和衍生纪念申又枨先生诞辰九十周年  

On Completion and Prolongation of Classical Sturm-Liouville Theory

作　　者：曹之江[1] 

机构地区：[1]内蒙古大学数学系

出　　处：《数学进展》1993年第2期97-117,共21页Advances in Mathematics（China）

基　　金：国家自然科学基金

摘　　要：综合评述了Sturm-Liouville理论在近 30年内的若干新发展,主要内容包括如下4个方面:1 由拟导数所生成的微分算子;2 常微分算子自伴性的完全解析描述;3 带权函数的Sturm-Liouville问题(包括右定、左定和不定3种情形);4 Volterra-Stieltjes积分微分算子。In this survey paper some new developments of Sturm-Liouville theory in recent three decades are outlined and reviewed. It consists of four parts: (1) Ordinary differential operators generated by quasi-derivatives; (2) Complete analytic description of self-adjointness of ordinary differential operators; (3) Sturm-Liouville problems with weighted functions (including right-definite, left-definite and non-definite cases); (4) Volterra-Stieltjes integral-differential operators.

关 键 词：S-L问题 微分算子 拟导数 自伴性 

分 类 号：O411.1[理学—理论物理]