Authors: Liu, Wanping
Yang, Xiaofan
Stević, Stevo 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: On a class ofnonautonomous max-type difference equations
Journal: Abstract and Applied Analysis
Volume: 2011
Issue Date: 12-Oct-2011
Rank: M21a
ISSN: 1085-3375
DOI: 10.1155/2011/436852
This paper addresses the max-type difference equation xn = max {fn / xαn-k, Bβ/ x n-m }, n ε ℕ0, where k, mε ℕ , B>0, and (fn)ε ℕ0 is a positive sequence with a finite limit. We prove that every positive solution to the equation converges to max { (lim n → ∞ fn)1/(α+1), B 1/ (β+ 1)} under some conditions. Explicit positive solutions to two particular cases are also presented.
Publisher: Hindawi
Project: Fundamental Research Funds for the Central Universities (Project no. CDJXS10181130)
New Century Excellent Talent Project of China (no. NCET-05-0759)
National Natural Science Foundation of China (no. 10771227)
Modulation of intracellular energy balance-controlling signalling pathways in therapy of cancer and neuro-immuno-endocrine disorders 
Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education 

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