Sturm-Liouville operators on time scales

被引：13

作者：

Eckhardt, Jonathan ^{[1
]}

Teschl, Gerald ^{[1
,2
]}

机构：

[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria

[2] Int Erwin Schrodinger Inst Math Phys, A-1090 Vienna, Austria

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2012年 / 18卷 / 11期

基金：

奥地利科学基金会;

关键词：

time scale calculus; Sturm-Liouville operators; Weyl-Titchmarsh theory; BOUNDARY-VALUE-PROBLEMS; DYNAMIC EQUATIONS; L-2; SPACES;

D O I：

10.1080/10236198.2011.600310

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the connection between Sturm-Liouville equations on time scales and Sturm-Liouville equations with measure-valued coefficients. Based on this connection, we generalize several results for Sturm-Liouville equations on time scales, which have been obtained by various authors in the past.

引用

页码：1875 / 1887

页数：13

共 50 条

[1] On Recovering the Sturm-Liouville Differential Operators on Time Scales
Kuznetsova, M. A.
[J]. MATHEMATICAL NOTES, 2021, 109 (1-2) : 74 - 88
[2] Completeness of the rootvectors of a dissipative Sturm-Liouville operators on time scales
Tuna, Huseyin
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 228 : 108 - 115
[3] Investigation of the spectrum of singular Sturm-Liouville operators on unbounded time scales
Allahverdiev, Bilender P.
Tuna, Huseyin
[J]. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2020, 14 (01): : 327 - 340
[4] EIGENVALUE PROBLEMS FOR A CLASS OF STURM-LIOUVILLE OPERATORS ON TWO DIFFERENT TIME SCALES
Durna, Zeynep
Ozkan, A. Sinan
[J]. COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2022, 71 (03): : 720 - 730
[5] Sturm-Liouville eigenvalue problems on time scales
Agarwal, RP
Bohner, M
Wong, PJY
[J]. APPLIED MATHEMATICS AND COMPUTATION, 1999, 99 (2-3) : 153 - 166
[6] A Uniqueness Theorem on Inverse Spectral Problems for the Sturm-Liouville Differential Operators on Time Scales
Kuznetsova, M. A.
[J]. RESULTS IN MATHEMATICS, 2020, 75 (02)
[7] DISSIPATIVE STURM-LIOUVILLE OPERATORS WITH A SPECTRAL PARAMETER IN THE BOUNDARY CONDITION ON BOUNDED TIME SCALES
Allahverdiev, Bilender P.
Eryilmaz, Aytekin
Tuna, Huseyin
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[8] Friedrichs extension of operators defined by even order Sturm-Liouville equations on time scales
Zemanek, Petr
Hasil, Petr
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (22) : 10829 - 10842
[9] SPECTRAL MATRIX FOR STURM-LIOUVILLE OPERATORS ON TWO-SIDED UNBOUNDED TIME SCALES
Huseynov, Adil
[J]. JOURNAL OF OPERATOR THEORY, 2013, 70 (01) : 33 - 51
[10] Solvability of Sturm-Liouville problems on time scales at resonance
Zhang, Youwei
Ma, Lei
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 233 (08) : 1785 - 1797

← 1 2 3 4 5 →