Singular left-definite boundary value problems

被引：0

作者：

Krall, AM ^{[1
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 1998年 / 29卷 / 01期

关键词：

Dirichlet formula; differential operators; Sobolev space; boundary value problems; singular left-definite boundary;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In order to set up the Dirichlet formula which is needed to discuss the differential operator ly=[-(py')'+qy]/w in a left-definite Sobolev space, the term (py')(z) over bar must be evaluated on the boundary. We give a simple, easy to apply, criterion which shows the boundary evaluation is zero. Examples are then given.

引用

页码：29 / 36

页数：8

共 6 条

[1] CODDINGTON EA, 1955, THORY ORDINARY DIFFE
[2] JACOBI POLYNOMIAL-EXPANSIONS
HAJMIRZAAHMAD, M
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 181 (01) : 35 - 61
[3] SINGULAR 2ND-ORDER OPERATORS - THE MAXIMAL AND MINIMAL OPERATORS, AND SELF-ADJOINT OPERATORS IN BETWEEN
HAJMIRZAAHMAD, M
KRALL, AM
[J]. SIAM REVIEW, 1992, 34 (04) : 614 - 634
[4] LAGUERRE POLYNOMIAL-EXPANSIONS
HAJMIRZAAHMAD, M
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1995, 59 (01) : 25 - 37
[5] KRALL AM, 1993, QUAESTIONES MATH, V16, P393
[6] Krall AM, 1995, QUAES MATH, V18, P407

← 1 →