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On the problem on periodic solutions of one class of systems of difference equations

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Abstract

The scheme of the Samoilenko numerical-analytic method for finding periodic solutions in the form of a uniformly convergent sequence of periodic functions is applied to one class of difference equations.

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References

  1. D. I. Martynyuk, N. A. Perestyuk, and L. V. Khabarovskaya, “Periodic solutions of one class of systems of difference equations,” Mat. Fiz., 15, 98–104 (1974).

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  2. D. I. Martynyuk, Lectures on the Qualitative Theory of Difference Equations, [in Russian], Naukova Dumka, Kiev (1972).

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  3. A. M. Samoilenko, “Numerical-analytic method for investigation of periodic solutions of systems of ordinary differerntial equations. II,” Ukr. Mat. Zh., 18, No. 2, 50–59 (1966).

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Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Published in Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 2, pp. 309–314, February, 1997.

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Ateiwi, A.M. On the problem on periodic solutions of one class of systems of difference equations. Ukr Math J 49, 342–348 (1997). https://doi.org/10.1007/BF02486448

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  • DOI: https://doi.org/10.1007/BF02486448

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