On periodic solutions of second order linear difference equations

被引：1
|
作者：
El-Owaidy, H [1 ]
Mohamed, HY [1 ]
机构：
[1] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11765, Egypt
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2002年 / 8卷 / 08期
关键词：
second order difference equations; periodic solutions; Carvalho's method; a new procedure;
D O I：
10.1080/1023619021000000744
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we apply a new procedure initially developed in Refs. [H. El-Owaidy and H.Y. Mohamed. "On the periodic solutions for nth order difference equations". Journal of Applied Mathematics and Computation , (to appear); "The necessary and sufficient conditions of existence of periodic solutions of nonautonomous difference equations". Journal of Applied Mathematics and Computation , (to appear)] to simplify the use of Carvalho's method to the case of discrete difference equations, in order to find the periodic solutions of second order linear difference equations. We can also find the complex periodic solutions.
引用
收藏
页码：729 / 740
页数：12
相关论文
共 50 条
  • [1] Periodic solutions of some second order difference equations
    Li, Xiong
    Zhang, Jing
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2009, 15 (06) : 579 - 593
  • [2] Asymptotically periodic solutions of second order difference equations
    Migda, Janusz
    Migda, Malgorzata
    Zbaszyniak, Zenon
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 350 : 181 - 189
  • [3] Construction of periodic solutions of linear and quasi-linear differential-difference equations of the second order
    Zhanbusinova, B. Kh.
    BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2013, 70 (02): : 82 - 86
  • [4] Periodic solutions for nonlinear second-order difference equations
    Ma, Manjun
    Tang, Hengsheng
    Luo, Wei
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 184 (02) : 685 - 694
  • [5] PERIODIC SOLUTIONS OF SECOND ORDER NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS
    Liu, Yuji
    ARCHIVUM MATHEMATICUM, 2007, 43 (01): : 67 - 74
  • [6] Periodic solutions of nonlinear second-order difference equations
    Rodriguez, Jesus
    Etheridge, Debra Lynn
    ADVANCES IN DIFFERENCE EQUATIONS, 2005, 2005 (02) : 173 - 192
  • [7] Periodic solutions of nonlinear second-order difference equations
    Jesús Rodriguez
    Debra Lynn Etheridge
    Advances in Difference Equations, 2005
  • [8] ALMOST PERIODIC SOLUTIONS OF PERIODIC SECOND ORDER LINEAR EVOLUTION EQUATIONS
    Nguyen Huu Tri
    Bui Xuan Dieu
    Vu Trong Luong
    Minh, Nguyen Van
    KOREAN JOURNAL OF MATHEMATICS, 2020, 28 (02): : 223 - 240
  • [9] Bounded solutions of self-adjoint second order linear difference equations with periodic coefficients
    Encinas, A. M.
    Jimenez, M. J.
    OPEN MATHEMATICS, 2018, 16 : 75 - 82
  • [10] On subnormal solutions of second order linear periodic differential equations
    Zong-xuan Chen
    Kwang Ho Shon
    Science in China Series A: Mathematics, 2007, 50 : 786 - 800
12345