|Title:||Note on the bilinear difference equation with a delay||Journal:||Mathematical Methods in the Applied Sciences||Volume:||41||Issue:||18||First page:||9349||Last page:||9360||Issue Date:||1-Dec-2018||Rank:||M21||ISSN:||0170-4214||DOI:||10.1002/mma.5293||Abstract:||
A representation formula for the general solution to a higher-order rational difference equation has been given recently in this journal. The formula was proved by the method of induction without giving any theoretical explanation related to it. Here we show how the corresponding representation formula for the general solution to a general higher-order rational difference equation, that is, to the bilinear difference equation with a delay, is obtained in an elegant way. We also give some theoretical explanations related to the representation, as well as some explanations related to such types of difference equations. The corresponding representation for a system of bilinear difference equations with delay is also presented.
|Keywords:||bilinear difference equation | difference equation with interlacing indices | general solution||Publisher:||Wiley||Project:||Modulation of intracellular energy balance-controlling signalling pathways in therapy of cancer and neuro-immuno-endocrine disorders
Physical and functional effects of radiation interaction with electrotechnical and biological systems
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
Brno University of Technology, Project FEKT-S-17-4225
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