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On a Class of Nonautonomous Max‐Type Difference Equations

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  • Wanping Liu
  • Xiaofan Yang
  • Stevo Stević

Abstract

This paper addresses the max‐type difference equation xn=max{fn/xn−kα,B/xn−mβ}, n ∈ ℕ0, where k, m ∈ ℕ, B > 0, and (fn) n∈ℕ0 is a positive sequence with a finite limit. We prove that every positive solution to the equation converges to max{(limn→∞fn)1/(α+1),B1/(β+1)} under some conditions. Explicit positive solutions to two particular cases are also presented.

Suggested Citation

  • Wanping Liu & Xiaofan Yang & Stevo Stević, 2011. "On a Class of Nonautonomous Max‐Type Difference Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:436852
    DOI: 10.1155/2011/436852
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    References listed on IDEAS

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    1. Stević, Stevo, 2009. "Boundedness character of a fourth order nonlinear difference equation," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2364-2369.
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