ASYMPTOTIC CONVERGENCE OF SOLUTIONS OF A SCALAR q-DIFFERENCE EQUATION WITH DOUBLE DELAYS

被引:1
|
作者
Bereketoglu, H. [1 ]
Kavgaci, M. E. [1 ]
Oztepe, G. S. [1 ]
机构
[1] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey
关键词
q-analogue; q-difference equation; delay difference equation; asymptotic convergence; CONSTANCY;
D O I
10.1007/s10474-015-0575-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We obtain sufficient conditions for the asymptotic convergence of all solutions of a scalar q-difference equation with double delays. Moreover, we prove that the limits of the solutions could be formulated in terms of the initial functions and the solution of a corresponding sum equation.
引用
收藏
页码:279 / 293
页数:15
相关论文
共 50 条
  • [41] THE ASYMPTOTIC BEHAVIOUR OF q-DIFFERENCE EQUATIONS WITH MULTIPLE
    Cermak, Jan
    DIFFERENTIAL AND DIFFERENCE EQUATIONS AND APPLICATIONS 2008, 2009, 43 : 41 - 50
  • [43] Meromorphic solutions of some types of q-difference differential equation and delay differential equation
    Chen, Minfeng
    Gao, Zongsheng
    Zhang, Jilong
    SCIENCEASIA, 2022, 48 (01): : 107 - 114
  • [44] Asymptotic Convergence of the Solutions of a Discrete Equation with Two Delays in the Critical Case
    Berezansky, L.
    Diblik, J.
    Ruzickova, M.
    Suta, Z.
    ABSTRACT AND APPLIED ANALYSIS, 2011,
  • [45] Q-difference and confluent forms of the lattice Boussinesq equation and the relevant convergence acceleration algorithms
    Sun, Jian-Qing
    He, Yi
    Hu, Xing-Biao
    Tam, Hon-Wah
    JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (02)
  • [46] Existence of solutions for fractional q-difference equation with mixed nonlinear boundary conditions
    Xinhui Li
    Zhenlai Han
    Shurong Sun
    Ping Zhao
    Advances in Difference Equations, 2014
  • [47] Positive and negative solutions of a boundary value problem for a fractional q-difference equation
    Chengbo Zhai
    Jing Ren
    Advances in Difference Equations, 2017
  • [48] Existence of solutions for fractional q-difference equation with mixed nonlinear boundary conditions
    Li, Xinhui
    Han, Zhenlai
    Sun, Shurong
    Zhao, Ping
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [49] Some Properties of Solutions for Some q-Difference Equations Containing Painleve Equation
    Zhao, Peng Jun
    Xu, Hong Yan
    JOURNAL OF FUNCTION SPACES, 2018, 2018
  • [50] On a certain asymptotic class of solutions to second-order linear q-difference equations
    Rehak, Pavel
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (05)