|Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||On the difference equation x n+1 = x nx n-k/ (x n-k+1 (a + bx nx n-k))||Journal:||Abstract and Applied Analysis||Volume:||2012||Issue Date:||18-Sep-2012||Rank:||M21a||ISSN:||1085-3375||DOI:||10.1155/2012/108047||Abstract:||
We show that the difference equation x n+1 = x nx n-k / (x n-k+1 (a + bx nx n-k)), n ∈ 0, where k ∈ , the parameters a, b and initial values x - i, i = 0, k are real numbers, can be solved in closed form considerably extending the results in the literature. By using obtained formulae, we investigate asymptotic behavior of well-defined solutions of the equation.
|Publisher:||Hindawi||Project:||Czech Grant Agency, Grant no. P201/10/1032
Council of Czech Government, Grant no. MSM 00 216 30519
Brno University of Technology, Grant no. FEKT-S-11-2-921
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
Physical and functional effects of radiation interaction with electrotechnical and biological systems
Show full item record
checked on Mar 20, 2023
checked on Mar 21, 2023
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.