Uniqueness Criterion and Cramer’s Rule for Implicit Higher Order Linear Difference Equations Over $$\mathbf {Z}$$

Author:

MARTSENIUK V. V.,Gefter Sergey L.,Piven’ A. L.

Publisher

Springer International Publishing

Reference13 articles.

1. Kelley, W.G., Peterson, A.C.: Difference Equation: An Introduction with Applications, 2nd edn., p. 404. Academic Press (2001)

2. Gerasimov, V.A., Gefter, S.L., Goncharuk, A.B.: Application of the $$p$$-adic topology on $$\bf {Z}$$ to the problem of finding solutions in integers of an implicit linear difference equation. J. Math. Sci. 235, 256–261 (2018). https://doi.org/10.1007/s10958-018-4072-x

3. Fomin, S., Zelevinsky, A.: The laurent phenomenon. Adv. Appl. Math. 28, 119–144 (2002). https://doi.org/10.1006/aama.2001.0770

4. Gefter, S.L., Goncharuk, A.B., Piven’, A.L.: Integer solutions for a vector implicit linear difference equation in $$\bf {Z}^N$$. Dopov. Nac. Akad. Nauk Ukr. 11, 11–18 (in Ukrainian) (2018). https://doi.org/10.15407/dopovidi2018.11.011

5. Martseniuk, V., Gefter, S., Piven’, A.: Integer solutions of implicit linear difference equations. In: Voronois Impact on Modern Science, Proceedings of the Sixth International Conference on Anal. Number Theory Spat. Tessellations, vol. 1, pp. 87–95. National Pedagogical Dragomanov University Publication (2018)

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