On the problem of global partial asymptotic stability / Vorotnikov V.I. // Doklady Akademii Nauk. - 2004. - V. 396, l. 3. - P. 295-299.

ISSN:

08695652

Type:

Article

Abstract:

For nonlinear non-autonomous ordinary differential systems two partial stability problems are considered: 1)asymptotic stability in a part of zero-equilibrium-position variables; 2) asymptotic stability of 'partial' (zero) equilibrium position. It is assumed that the solutions convergence domain coincides with total phase space of the initial system. The solutions of above problems obtained in the framework of Lyapunov functions method modify and strengthen the known V. Rumyantsev's and A. Oziraner's results. The results are extended for the more general case of stability in a part of partial (zero) equilibrium position variables.

Author keywords:

Index keywords:

Convergence of numerical methods; Differential equations; Nonlinear equations; Partial differential equations; Phase space methods; Poles and zeros; Problem solving; Variables; Asymptotic stability

DOI:

нет данных

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-10144234827&partnerID=40&md5=b26f6ed92fa5d307e97b5a9076d05fc1

Соавторы в МНС:

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Другие поля

Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-10144234827&partnerID=40&md5=b26f6ed92fa5d307e97b5a9076d05fc1
Affiliations	Nizhnetagil'skij Tekhnol. Inst., Ural'skij Gos. Tekhnich. Univ., Nizhnetagil'sk, Russian Federation
Correspondence Address	Vorotnikov, V.I.; Nizhnetagil'skij Tekhnol. Inst., Ural'skij Gos. Tekhnich. Univ., Nizhnetagil'sk, Russian Federation
CODEN	DAKNE
Language of Original Document	Russian
Abbreviated Source Title	Dokl Akad Nauk
Source	Scopus