Two‐dimensional solvable system of difference equations with periodic coefficients
Copyright policy )Two‐dimensional solvable system of difference equations with periodic coefficients
We show that the following two‐dimensional system of difference equations: urn:x-wiley:mma:media:mma5780:mma5780-math-0001 where , , , and are periodic sequences, is solvable, considerably extending some results in the literature. In the case when all these four sequences are periodic with period 2 or with period 3, we present closed‐form formulas for the general solutions to the corresponding systems of difference equations. Some comments regarding theoretical and practical solvability of the system, connected to the value of the period of the sequences, are given.
- Serbian Academy of Sciences and Arts Serbia
- Asian University Taiwan
- China Medical University Taiwan
- China Medical University Hospital Taiwan
closed-form formula, solvable system, Multiplicative and other generalized difference equations, Difference equations in the complex domain, system of difference equations, system with periodic coefficients, Additive difference equations
closed-form formula, solvable system, Multiplicative and other generalized difference equations, Difference equations in the complex domain, system of difference equations, system with periodic coefficients, Additive difference equations
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