23, 236–242 (1971)Īndruch-Sobilo, A., Migda, M.: Further properties of the rational recursive sequence \(x_)\). Generally speaking, investigation of difference equations and systems of difference equations has always had some direct or potential applications.Īdamović, D.: Problem 194.
It should be pointed out that the original sources have been also motivated by some practical problems, usually from combinatorics and probability, but also in economics. For some classical solvable difference equations and systems, see, for example, original sources, as well as some of the oldest presentations of the topic in and (for some later presentations see, for example, and ). Of many topics in the area, there has been a growing renewed interest in their solvability, invariants, and their applications (see, for example, and the references therein), although nowadays mainstream of investigations is on the long-term behavior of their solutions (see, e.g., ).Ī typical situation is that many solvable difference equations and systems of difference equations are transformed by suitable changes of variables to well-known solvable ones such as linear difference equations and systems with constant coefficients and their close relatives (see, for example, and many related references therein). There has been a huge interest in difference equations and systems of difference equations (see, for example, and the references therein), because they naturally appear in many branches of mathematics and science, where they model real and abstract phenomena (see, for example, ).
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