Stability in part of the variables of ``partial{''} equilibria of systems with aftereffect / Vorotnikov V. I.,Martyshenko Yu. G. // MATHEMATICAL NOTES. - 2014. - V. 96, l. 3-4. - P. 477-483.

ISSN/EISSN:

0001-4346 / 1573-8876

Type:

Article

Abstract:

The problem of stability in part of the variables of a ``partial{''} equilibrium (this means that a given part of the phase vector coordinates is zero) is considered for nonlinear nonstationary systems of functional differential equations with aftereffect. The notions of stability in part of the variables, which admit more general (compared with the known ones) assumptions about the values of the supremum-norm of the components of the initial vector function corresponding to the variables that do not determine the given equilibrium, are introduced. The stability and asymptotic stability conditions of the the type mentioned above are obtained in the context of the method of Lyapunov-Krasovskii functionals; this conditions allow generalization of several well-known results.

Author keywords:

stability in part of the variables; ``partial{''} equilibrium; functional differential equations with aftereffect FUNCTIONAL-DIFFERENTIAL EQUATIONS; NONLINEAR DYNAMIC-SYSTEMS

DOI:

10.1134/S0001434614090223

Web of Science ID:

ISI:000344334500022

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	SEP
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1573-8876
Keywords-Plus	FUNCTIONAL-DIFFERENTIAL EQUATIONS; NONLINEAR DYNAMIC-SYSTEMS
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics
Author-Email	vorot@ntiustu.ru j-mart@mail.ru
Number-of-Cited-References	16
Usage-Count-Since-2013	2
Journal-ISO	Math. Notes
Doc-Delivery-Number	AS5UI