Regular approximation of singular self-adjoint differential operators

被引：4

作者：

El-Gebeily, MA ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2003年 / 68卷 / 05期

关键词：

regular approximation; resolvent convergence; singular differential operators;

D O I：

10.1093/imamat/68.5.471

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a singular self-adjoint differential operator (L) over cap of order 2n with real coefficients we construct two sequences of regular self-adjoint differential expressions (L) over cap (r) which converge to (L) over cap in a generalized sense of resolvent convergence. The first construction is suitable when no information about the real resolvent set of (L) over cap is available. The second is suitable when we know a real point of the resolvent set of (L) over cap. The main application of this construction is in numerical solution of singular differential equations.

引用

页码：471 / 489

页数：19