2021
DOI: 10.18514/mmn.2021.3365
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Solutions formulas for some general systems of difference equations

Abstract: In this paper, we give explicit formulas of the solutions of the two general systems of difference equationswhere n ∈ N 0 , f , g : D −→ R are "1 − 1" continuous functions on D ⊆ R, the initial values x −i , y −i , i = 0, 1, 2, 3 are arbitrary real numbers in D and the parameters a, b, c and d are arbitrary real numbers. Our results considerably extend some existing results in the literature.

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Cited by 5 publications
(2 citation statements)
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“….17) and -Some parts of the results of this paper were used in the reference [2] in which the authors have generalized the system (1.2).…”
Section: Proof Of the Main Theoremmentioning
confidence: 99%
“….17) and -Some parts of the results of this paper were used in the reference [2] in which the authors have generalized the system (1.2).…”
Section: Proof Of the Main Theoremmentioning
confidence: 99%
“…The theory of system of difference equations improved until today. Recently, there has been great interest in studying difference equation or difference equations systems [1][2][3][5][6][7]9,[12][13][14].…”
Section: Introductionmentioning
confidence: 99%