Irregular Boundary Value Problems Revisited

被引：6

作者：

Freiling, Gerhard ^{[1
]}

机构：

[1] Univ Duisburg Essen, Dept Math, Campus Duisburg,Forsthausweg 2, Duisburg, Germany

来源：

RESULTS IN MATHEMATICS | 2012年 / 62卷 / 3-4期

关键词：

Irregular boundary value problems; Stone-regular boundary value problems; Birkhoff-regularity; ORDINARY DIFFERENTIAL-OPERATORS; EIGENVALUE PROBLEMS; EXPANSION PROBLEMS; EIGENFUNCTION-EXPANSIONS; ROOT FUNCTIONS; LAMBDA-P; COMPLETENESS; EQUATIONS; SYSTEMS; SPACE;

D O I：

10.1007/s00025-012-0281-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a survey on results that have been obtained during the last century for irregular boundary eigenvalue problems for arbitrary order differential equations and explain the main differences between this class and the classes of Birkhoff- and Stone-regular problems.

引用

页码：265 / 294

页数：30

共 141 条

[1] Asymptotics of eigenvalues and estimate for the kernel of the resolvent in an irregular boundary value problem generated by a 2n-th order differential equation on the interval [0, a] [J].

Aigunov, G. A. ;

Gadzhieva, T. Yu. .

RUSSIAN MATHEMATICAL SURVEYS, 2008, 63 (01) :155-157

[2]

[Anonymous], 1991, MATH APPL

[3]

[Anonymous], 1988, TRANSLATIONS MATH MO

[4]

[Anonymous], 1979, FUNCTIONAL ANAL APPL

[5]

[Anonymous], MITT MATH SEM GIESSE

[6]

[Anonymous], 1963, SOV MATH DOKL, V4, p[1575, 1324]

[7] Boundary value problems with eigenvalue depending boundary conditions [J].

Behrndt, Jussi .

MATHEMATISCHE NACHRICHTEN, 2009, 282 (05) :659-689

[8] Oscillation properties for the equation of vibrating beam with irregular boundary conditions [J].

Ben Amara, Jamel .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 360 (01) :7-13

[9] GREENS FUNCTION FOR ORDINARY DIFFERENTIAL OPERATORS [J].

BENZINGER, HE .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1970, 7 (03) :478-+

[10]

Bergmann J, 1975, BEITRAGE ANAL, V7, P71

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