摘要
将正则Sturm-Liouville问题的一些性质推广到一类带转移条件的Sturm-Liouville问题中,这类问题在内部点上或者解不连续或者拟导数不连续.重点研究了特征函数的振动性,并通过数值实例验证了相应的振动性结论.
Some fundamental properties of eigenfunctions for regular Sturm-Liouville problems are extended to special kind boundary value problems,which have discontinuities in the solution or its quasi-derivative at an interior point.Oscillatory properties of eigenfunctions are investigated,primarily.Examples with numericals verified corresponding conclusions.
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
2010年第2期109-115,共7页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
Supported by the National Natural Science Foundation of China(10661008
10861008)
the Inner Mon-golia Provincial Natural Science Foundation(2009 MS0114
20080404 MS0102)
关键词
转移条件
特征值
特征函数
振动性
transmission conditions
eigenvalues
eigenfunctions
oscillatory properties
