Implicit linear difference equation over residue class rings

Author:

,Heneralov Mykola,Piven' Aleksey,

Abstract

We investigate the first order implicit linear difference equation over residue class rings modulo m. We prove an existence criterion and establish the number of solutions for this equation. We obtain analogous results for the initial problem of the considered equation. The examples which illustrate the developed theory are given.

Publisher

Luhansk Taras Shevchenko National University

Reference15 articles.

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5. [5] Benabdallakh, M., Rutkas, A.G., Solov'ev, A.A.: Application of asymptotic ex-pansions to the investigation of an infinite system of equationsAxn+1+Bxn=fnin a Banach Space. J. Soviet Math. 48(3), 124-130 (1990). https://doi.org/10.1007/BF01095789

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