Abstract
We show that Theorems 1 and 3 in A. G. Gritsai's paper “Monotonicity properties of solutions of systems of nonlinear differential equations” published in the collection of works Approximate and Qualitative Methods in the Theory of Differential and Functional Differential-Equations (Institute of Mathematics, Ukrainian Academy of Sciences, Kiev, 1979) are not true in the formulation presented.
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REFERENCES
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A. G. Gritsai, “Monotonicity properties of solutions of systems of nonlinear differential equations,” in: Approximate and Qualitative Methods in the Theory of Differential and Functional Differential Equations [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1979), pp. 13–19.
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Kalinowski, J. On the Sign of Solutions of Systems of Ordinary Differential Equations. Ukrainian Mathematical Journal 54, 1547–1549 (2002). https://doi.org/10.1023/A:1023476104640
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DOI: https://doi.org/10.1023/A:1023476104640