Extensions of Symmetric Singular Second-Order Dynamic Operators on Time Scales

被引：6
|
作者：
Allakhverdiev, Bilender P. [1 ]
机构：
[1] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkey
来源：
FILOMAT | 2016年 / 30卷 / 06期
关键词：
Symmetric singular second-order dynamic operator; space of boundary values; selfadjoint and nonselfadjoint extensions of a symmetric operator; BOUNDARY-CONDITIONS;
D O I：
10.2298/FIL1606475A
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A space of boundary values is constructed for minimal symmetric singular second-order dynamic operators on semi-infinite and infinite time scales in limit-point and limit-circle cases. A description of all maximal dissipative, maximal accumulative, selfadjoint, and other extensions of such symmetric operators is given in terms of boundary conditions.
引用
收藏
页码：1475 / 1484
页数：10
相关论文
共 50 条
  • [1] On Extensions of Singular Fourth Order Dynamic Operators on Time Scales
    Tuna, Huseyin
    Bayrak, Songul
    FILOMAT, 2018, 32 (11) : 3843 - 3851
  • [2] Extensions of symmetric second-order difference operators with matrix coefficients
    Allahverdiev, Bilender P.
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2013, 19 (05) : 839 - 849
  • [3] Classification for a class of second-order singular equations on time scales
    Zhang, Chao
    Zhang, Lianghong
    SNPD 2007: EIGHTH ACIS INTERNATIONAL CONFERENCE ON SOFTWARE ENGINEERING, ARTIFICIAL INTELLIGENCE, NETWORKING, AND PARALLEL/DISTRIBUTED COMPUTING, VOL 3, PROCEEDINGS, 2007, : 73 - +
  • [4] Non-self-adjoint singular second-order dynamic operators on time scale
    Allahverdiev, Bilender P.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (01) : 229 - 236
  • [5] Inequalities among Eigenvalues of Second-Order Symmetric Equations on Time Scales
    Chao Zhang
    Shurong Sun
    Advances in Difference Equations, 2010
  • [6] Inequalities among Eigenvalues of Second-order Symmetric Equations on Time Scales
    Zhang, Chao
    Sun, Shurong
    ADVANCES IN DIFFERENCE EQUATIONS, 2010,
  • [7] Oscillation criteria for second-order dynamic equations on time scales
    Agarwal, Ravi P.
    Bohner, Martin
    Li, Tongxing
    Zhang, Chenghui
    APPLIED MATHEMATICS LETTERS, 2014, 31 : 34 - 40
  • [8] Oscillation of second-order delay dynamic equations on time scales
    School of Sciences, University of Jinan, Jinan 250022, China
    不详
    Zhongshan Daxue Xuebao, 2007, 6 (10-13):
  • [9] Oscillation of second-order delay dynamic equations on time scales
    Sun S.
    Han Z.
    Zhang C.
    Journal of Applied Mathematics and Computing, 2009, 30 (1-2) : 459 - 468
  • [10] Oscillation of second-order damped dynamic equations on time scales
    Saker, Samir H.
    Agarwal, Ravi P.
    O'Regan, Donal
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 330 (02) : 1317 - 1337
12345