On the Sign of Solutions of Systems of Ordinary Differential Equations

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...

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Published in:Український математичний журнал
Date:2002
Main Author: Kalinowski, J.
Format: Article
Language:English
Published: Інститут математики НАН України 2002
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/164322
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On the Sign of Solutions of Systems of Ordinary Differential Equations / J. Kalinowski // Український математичний журнал. — 2002. — Т. 54, № 9. — С. 1282–1283. — Бібліогр.: 4 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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. Показано, що теореми 1 і 3 роботи А. Г. Грицай „О свойствах монотонности решений систем нелинейных дифференциальных уравнений", опублікованої у збірнику праць Інституту математики АН України „Приближенные и качественные методы теории дифференциальных и дифференциально-функциональных уравнений" (1979 р.), у наведеному вигляді неправильні.
ISSN:1027-3190