Authors: Stević, Stevo 
Diblík, Josef
Iričanin, Bratislav
Šmarda, Zdeněk
Title: Solvability of nonlinear difference equations of fourth order
Journal: Electronic Journal of Differential Equations
Volume: 2014
Issue Date: 22-Dec-2014
Rank: M22
In this article we show the existence of solutions to the nonlinear difference equation (Formula Presented.) where the sequences (an)nєN0 and (bn) nєN0, and initial the values x-j, j = 1, 4, are real numbers. Also we find the set of initial values for which solutions are undefinable when an ≠0 and bn ≠0 for every n є ℕo. When these two sequences are constant, we describe the long-term behavior of the solutions in detail.
Keywords: Long-term behavior of solutions | Solution to difference equation | Undefinable solutions
Publisher: Texas State University - San Marcos
Project: Operational Programme Research and Development for Innovations, No. CZ.1.05/2.1.00/03.0097 (AdMaS).
Brno University of Technology, Project no. FEKT-S-14-2200
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 May 19, 2024

Page view(s)

checked on May 9, 2024

Google ScholarTM


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.