ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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Controllability for infinite time and asymptotic equilibrium

A. Yu. Pavlov1

AnnotationOn the basis of generalization of  Wazewski inequality the author obtained classes of differential equations systems, for which the existence of asymptotic equilibrium equations in the first approximation is not  necessary condition of controllability infinite time. The article considers the example of a scalar equation, which the first approximation has no asymptotic equilibrium, although it itself is controlled for an infinite time.
Keywordsnonlinear systems of ordinary differential equations, controllability in finite and infinite time, asymptotic equilibrium

1Associate Professor of   Applied   Mathematics, Differential Equations and Theoretical Mechanics   Chair,; Mordovian   State   University   after   N. P. Ogarev, Saransk, korspa@yandex.ru

Citation: A. Yu. Pavlov, "[Controllability for infinite time and asymptotic equilibrium]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:2 (2015) 81–84 (In Russian)