Authors: Stević, Stevo 
Title: Representations of solutions to linear and bilinear difference equations and systems of bilinear difference equations
Journal: Advances in Difference Equations
Volume: 2018
Issue: 1
Issue Date: 1-Dec-2018
Rank: M21
ISSN: 1687-1847
DOI: 10.1186/s13662-018-1930-2
Abstract: 
We represent general solution to a homogeneous linear difference equation of second order in terms of a specially chosen solution to the equation and apply it to get a representation of general solution to the bilinear difference equation in terms of a solution to an associate difference equation of second order, considerably generalizing some recent results in an elegant way. We also present the corresponding representations for some systems of bilinear difference equations. Many historical notes not so known to wide audience are also presented, and we offer an answer to an open question regarding the attribution of the bilinear difference equation.
Keywords: Bilinear difference equation | General solution | History of difference equations | Linear difference equation | Representation of solutions | System of bilinear difference equations
Publisher: Springer Link
Project: 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 

Show full item record

SCOPUSTM   
Citations

30
checked on Nov 14, 2024

Page view(s)

16
checked on Nov 14, 2024

Google ScholarTM

Check

Altmetric

Altmetric


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