On some class of periodic-discrete homogeneous difference equations via Fibonacci sequences

被引：5
|
作者：
Ben Taher, R. [1 ]
Benkhaldoun, H. [1 ]
Rachidi, M. [1 ,2 ]
机构：
[1] Univ Moulay Ismail, Fac Sci, Dept Math & Informat, Meknes, Morocco
[2] Equip DEFA, Meknes, Mexico
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2016年 / 22卷 / 09期
关键词：
Powers of a square matrix; periodic discrete-time linear systems; homogeneous linear difference equations; generalized Fibonacci sequences; SYSTEM;
D O I：
10.1080/10236198.2016.1194407
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The intent of this paper is to solve the homogeneous linear difference equations with periodic coefficients. For this purpose, we turn our study in solving a class of discrete-time linear systems, in the algebra of square matrices. The tools used repose predominately on the combinatorial properties of the generalized Fibonacci sequences in the algebra of square matrices. Some explicit solutions are established and special cases are discussed. Illustrative examples are given.
引用
收藏
页码：1292 / 1306
页数：15
相关论文
共 50 条
  • [1] Solving the linear difference equation with periodic coefficients via Fibonacci sequences
    Ben Taher, R.
    Benkhaldoun, H.
    LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (12): : 2549 - 2564
  • [2] The Periodic Solutions of a Class of Difference Equations
    Wang, Qi
    You, Weiling
    Zhang, Gengrong
    JOURNAL OF MATHEMATICS, 2022, 2022
  • [3] On the periodic character of some difference equations
    Voulov, HD
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2002, 8 (09) : 799 - 810
  • [4] Periodic solutions of a class of nonlinear difference equations via critical point method
    Cai, Xiaochun
    Yu, Jianshe
    Guo, Zhiming
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2006, 52 (12) : 1639 - 1647
  • [5] Diophantine equations involving the bi-periodic Fibonacci and Lucas sequences
    Ait-Amrane, Lyes
    Behloul, Djilali
    Djoumakh, Akila
    ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2022, 26 (01): : 129 - 152
  • [6] Representation of solutions of bilinear difference equations in terms of generalized Fibonacci sequences
    Stevic, Stevo
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2014, (67) : 1 - 15
  • [7] Periodic solutions for a class of nonlinear difference equations
    Shi, Haiping
    Liu, Xia
    Zhang, Yuanbiao
    HOKKAIDO MATHEMATICAL JOURNAL, 2016, 45 (01) : 109 - 126
  • [8] New approaches of (q, k)-Fibonacci-Pell sequences via linear difference equations. Applications
    Craveiro, Irene Magalhaes
    Spreafico, Elen Viviani Pereira
    Rachidi, Mustapha
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2023, 29 (04) : 647 - 669
  • [9] On some difference equations with eventually periodic solutions
    Amleh, AM
    Grove, EA
    Kent, CM
    Ladas, G
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 223 (01) : 196 - 215
  • [10] On some class of homogeneous polynomials and explicit form of integrable hierarchies of differential-difference equations
    Svinin, A. K.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (16)
12345