On the global attractivity of difference equation of higher order

@inproceedings{LABBASY2008OnTG,
  title={On the global attractivity of difference equation of higher order},
  author={E. M. E LABBASY},
  year={2008}
}
  • E. M. E LABBASY
  • Published 2008
where a, b, c and d ∈ (0,∞) with the initial values x−p, x−p+1, ..., x−1 and x0 ∈ (0,∞), where p is a positive integer. Here, we recall some notations and results which will be useful in our investigation. Let I be some interval of real numbers and let F : I → I be a continuously differentiable function. Then for every set of initial values x−k, x−k+1, ..., x0 ∈ I, the difference equation (1.2) xn+1 = F (xn, xn−1, . . . , xn−k), n = 0, 1, . . . , has a unique solution {xn}n=−k [11]. A point x… CONTINUE READING

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Progress report on rational difference equations

  • E. A. Grove, M.R.S. Kulenovic, G. Ladas
  • J. Differ. Equations Appl
  • 2004
Highly Influential
12 Excerpts

Open problem and conjectures: on period two solutions of xn+1 = α+ βxn + γxn−1 A+Bxn + Cxn−1

  • M.R.S. Kulenovic, G. Ladas
  • J. Differ. Equations Appl
  • 2000
Highly Influential
12 Excerpts

Global attractivity and periodic character of a fractional difference equation of order three

  • E. M. Elabbasy, H. El-Metwally, E. M. Elsayed
  • Yokohama Math. J
  • 2007

Dynamics of second order rational difference equations with open problems and conjectures

  • M.R.S. Kulenovic, G. Ladas
  • 2001

On a rational difference equation

  • M.R.S. Kulenovic, G. Ladas, N. R. Prokup
  • Comput. Math. Appl
  • 2001

On the global attractivity and the periodic character of some difference equations

  • H. El-Metwally, E. A. Grove, G. Ladas, H. D. Voulov
  • J. Differ. Equations Appl
  • 2001

A global convergence result with applications to periodic solutions

  • H. El-Metwally, E. A. Grove, G. Ladas
  • J. Math. Anal. Appl
  • 2000

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