Qualitative Properties of Difference Equation of Order Six

  • Khaliq A
  • Elsayed E
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Abstract

In this paper we study the qualitative properties and the periodic nature of the solutions of the difference equation x n + 1 = α x n - 2 + β x n - 2 2 γ x n - 2 + δ x n - 5 , n = 0 , 1 , . . . , where the initial conditions x - 5 , x - 4 , x - 3 , x - 2 , x - 1 , x 0 are arbitrary positive real numbers and α , β , γ , δ are positive constants. In addition, we derive the form of the solutions of some special cases of this equation.

Author-supplied keywords

  • boundedness
  • global attractor
  • periodicity
  • rational difference equations

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Authors

  • Abdul Khaliq

  • E.M. Elsayed

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