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Systems of nonlinear differential equations with bounded solutions

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Nonlinear Oscillations

Abstract

We establish sufficient conditions for the existence of solutions bounded on ℝ for the equation {fx168-01}, in a finite-dimensional Banach space {ie168-01}.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    I. M. Hrod

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  1. I. M. Hrod
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Correspondence to I. M. Hrod.

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__________

Translated from Neliniini Kolyvannya, Vol. 11, No. 2, pp. 160–167, April–June, 2008.

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Hrod, I.M. Systems of nonlinear differential equations with bounded solutions. Nonlinear Oscill 11, 168–176 (2008). https://doi.org/10.1007/s11072-008-0022-8

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  • DOI: https://doi.org/10.1007/s11072-008-0022-8

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