Abstract
For second-order difference equations, we justify the scheme of the Samoilenko numerical-analytic method for finding periodic solutions.
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References
D. I. Martynyuk, Lectures on Qualitative Theory of Difference Equations [in Russian] Naukova Dumka, Kiev 1972.
A. M. Samoilenko and N. I. Ronto, Numerical-Analytic Methods for Investigation of Periodic Solutions [in Russian] Vyshcha Shkola, Kiev 1976.
Yu. A. Mitropol’skii and N. O. Mikhailovskaya, “Periodic solutions of discrete difference equations of the second order,” Ukr. Mat. Zh., 24, No. 4, 543–546 (1972).
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Iteiwi, A.M. On a Numerical-Analytic method for second-order difference equations. Ukr Math J 48, 1039–1044 (1996). https://doi.org/10.1007/BF02390961
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DOI: https://doi.org/10.1007/BF02390961