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On the asymptotic properties of the solutions of a linear functional-differential equation of neutral type with constant coefficients and linearly transformed argument

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We establish new properties of solutions of a functional-differential equation x′(t) = ax(t) + bx(qt) + cx′(qt).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences Ukraine, 01601, Kyiv, 3 Tereshenkivs’ka Str., Ukraine

    G. P. Pelyukh & D.V. Bel’skii

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  1. G. P. Pelyukh
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  2. D.V. Bel’skii
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Translated from Neliniini Kolyvannya, Vol. 15, No. 4, pp. 466–493, October–December, 2012.

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Pelyukh, G.P., Bel’skii, D. On the asymptotic properties of the solutions of a linear functional-differential equation of neutral type with constant coefficients and linearly transformed argument. J Math Sci 194, 374–403 (2013). https://doi.org/10.1007/s10958-013-1535-y

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  • DOI: https://doi.org/10.1007/s10958-013-1535-y

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