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Solutions of systems of nonlinear difference equations that are continuous and bounded on the entire real axis and their properties

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Abstract

For a system of nonlinear difference equations, we establish conditions for the existence and uniqueness of a solution bounded on the entire real axis and study its properties.

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References

  1. A. Halanay and D. Wexler, Qualitative Theory of Impulsive Systems [Russian translation], Mir, Moscow (1971).

    Google Scholar 

  2. Ya. V. Bykov and V. G. Linenko, On Some Problems in the Qualitative Theory of Systems of Difference Equations [in Russian], Him, Frunze (1968).

    Google Scholar 

  3. Yu. A. Mitropol’skii, A. M. Samoilenko, and D. I. Martynyuk, Systems of Evolution Equations with Periodic and Almost Periodic Coefficients [in Russian], Naukova Dumka, Kiev (1985).

    Google Scholar 

  4. A. N. Sharkovskii, Yu. L. Maistrenko, and E. Yu. Romanenko, Difference Equations and Their Applications [in Russian], Naukova Dumka, Kiev (1986).

    Google Scholar 

  5. G. P. Pelyukh, “On the behavior of solutions of a system of nonlinear difference equations,” in: Dynamical Systems and Problems of Stability of Solutions of Difference Equations [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1973), pp. 73–80.

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  6. G. P. Pelyukh, “On periodic solutions of difference equations with continuous argument,” Ukr. Mat. Zh., 48, No. 1, 140–145 (1996).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 12, pp. 1636–1645, December, 1998.

This work was financially supported by the State Foundation for Fundamental Research of the Ukrainian Ministry of Science and Technology.

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Pelyukh, G.P. Solutions of systems of nonlinear difference equations that are continuous and bounded on the entire real axis and their properties. Ukr Math J 50, 1867–1878 (1998). https://doi.org/10.1007/BF02514203

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  • DOI: https://doi.org/10.1007/BF02514203

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