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
  • [41] ZEROS AND FIXED POINTS OF DIFFERENCE OPERATORS OF MEROMORPHIC FUNCTIONS
    崔巍巍
    杨连忠
    ActaMathematicaScientia, 2013, 33 (03) : 773 - 780
  • [42] Estimate for the difference of operators having different basis functions
    Vijay Gupta
    Rendiconti del Circolo Matematico di Palermo Series 2, 2020, 69 : 995 - 1003
  • [43] Uniqueness Theorems on Entire Functions and Their Difference Operators or Shifts
    Chen, Baoqin
    Chen, Zongxuan
    Li, Sheng
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [44] Unicity of Entire Functions concerning Shifts and Difference Operators
    Liu, Dan
    Yang, Degui
    Fang, Mingliang
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [45] Meromorphic Functions Sharing Three Values with their Difference Operators
    Feng Lü
    Weiran Lü
    Computational Methods and Function Theory, 2017, 17 : 395 - 403
  • [46] Meromorphic Functions Sharing Three Values with their Difference Operators
    Lu, Feng
    Lu, Weiran
    COMPUTATIONAL METHODS AND FUNCTION THEORY, 2017, 17 (03) : 395 - 403
  • [47] Meromorphic Functions Sharing four Values with their Difference Operators
    Xiao-Min Li
    Yan Liu
    Hong-Xun Yi
    Computational Methods and Function Theory, 2021, 21 : 317 - 341
  • [48] Meromorphic Functions Sharing Three Polynomials With Their Difference Operators
    L. Zhen
    Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2019, 54 : 296 - 301
  • [49] Fuzzy difference operators derived from overlap functions
    Dai, Songsong
    Song, Haifeng
    Xu, Yingying
    Du, Lei
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2024, 46 (01) : 247 - 255
  • [50] Uniqueness on Difference Operators of Meromorphic Functions of Infinite Order
    Hui Li
    Ming Liang Fang
    Xiao Yao
    Acta Mathematica Sinica, English Series, 2024, 40 : 511 - 527