On periodic solutions of countable systems of linear and quasilinear difference equations with periodic coefficients |
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| Authors: | Yu V Teplinskii M V Samoilenko |
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| Institution: | 1. Kamenets-Podol’sk Pedagogical Institute, Kamenets-Podorsk
2. Ukrainian Pedagogical University, Kiev
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| Abstract: | We present conditions for the existence of periodic solutions of linear difference equations with periodic coefficients in spaces of bounded number sequences. In the case where the generating linear equation has a unique periodic solution, we indicate sufficient conditions for the existence of a periodic solution of a quasilinear difference equation. |
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