PRINCIPAL FUNCTIONS OF IMPULSIVE DIFFERENCE OPERATORS ON SEMI AXIS

被引:0
|
作者
Yardimci, Seyhmus [1 ]
Erdal, Ibrahim [1 ]
机构
[1] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey
关键词
Impulsive condition; difference operator; spectrum; principal functions; SPECTRAL-ANALYSIS; 2ND-ORDER; EQUATIONS;
D O I
10.31801/cfsuasmas.481747
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we investigate the continuous spectrum and resolvent operator of a second-order difference operator with an impulsive condition. Then, under certain conditions, we prove finiteness of eigenvalues, spectral singularities. At last, we present principal functions of corresponding impulsive operator.
引用
收藏
页码:1797 / 1810
页数:14
相关论文
共 50 条
  • [1] An impulsive problem for quadratic pencil of Schrödinger operators on semi-axis
    Cebesoy, Serifenur
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2025, 2025 (01):
  • [2] The principal axis theorem for holomorphic functions
    Gräter, J
    Klein, M
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (02) : 325 - 335
  • [3] EIGENVALUES AND SCATTERING PROPERTIES OF DIFFERENCE OPERATORS WITH IMPULSIVE CONDITION
    Erdal, Ibrahim
    Yardimci, Seyhmus
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (01): : 663 - 671
  • [4] UNIQUENESS OF MEROMORPHIC FUNCTIONS WITH THEIR DIFFERENCE OPERATORS
    Qi, Xiaoguang
    Liu, Yong
    Yang, Lianzhong
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (04) : 784 - 790
  • [5] Principal Vectors of Matrix-Valued Difference Operators
    Aygar, Yelda
    Olgun, Murat
    COMPUTATIONAL ANALYSIS, AMAT 2015, 2016, 155 : 247 - 257
  • [6] Uniqueness of difference operators of meromorphic functions
    Baoqin Chen
    Zongxuan Chen
    Sheng Li
    Journal of Inequalities and Applications, 2012
  • [7] Uniqueness of difference operators of meromorphic functions
    Chen, Baoqin
    Chen, Zongxuan
    Li, Sheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [8] On Difference of Operators with Different Basis Functions
    Gupta, Vijay
    Acu, Ana Maria
    FILOMAT, 2019, 33 (10) : 3023 - 3034
  • [10] ENTIRE FUNCTIONS SHARING SMALL FUNCTIONS WITH THEIR DIFFERENCE OPERATORS
    Latreuch, Zinelaabidine
    El Farissi, Abdallah
    Belaidi, Benharrat
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,