摘要
假设微分算式l(y)=-(py')+qy,t∈[a,∞),满足lk(y)(k=1,2,3)均为极限点型,作者研究了由l(y)生成的两个微分算子Li(i=1,2)的乘积L2L1的自伴性问题并获得其自伴的充分必要条件．同时研究了由l(y)=-y"+qy,t∈[a,∞),生成的三个微分算子Li(i=1,2,3)的乘积L3L2L1的自伴性问题．
For the differential expression l（y）=-（py＇）＇＋qy, t∈[a,∞）, under the assumption that l^k （k = 1, 2, 3） are limit-pointed, the author studies the self-adjointness of the product operator L2L1, which Li （i = 1, 2） are generated by l（y）, and obtains a necessary and sufficient condition for self-adjointness of L2L1. Also, a necessary and sufficient condition for the self-adjointness of L3L2L1, which Li （i = 1, 2, 3） are associated with l（y）=-y＂＋qy, t∈[a,∞）, is obtained.
出处
《系统科学与数学》
CSCD
北大核心
2006年第3期368-374,共7页
Journal of Systems Science and Mathematical Sciences
关键词
微分算子乘积
极限点型微分算式
自伴边界条件.
Products of differential operators, limit-pointed differential expression, self-adjoint boundary conditions.
