An Asymptotical Stability in Variational Sense for Second Order Systems

Abstract: In this paper, a new, variational concept of asymptotical stability of zero solution to an ordinary differential system of the second order, considered in Sobolev space, is presented. Sufficient conditions for an asymptotical stability in a variational sense with respect to initial condition and functional parameter (control) are given. Relation to the classical asymptotical stability is illustrated.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
An Asymptotical Stability in Variational Sense for Second Order Systems ; volume:10 ; number:1 ; year:2010 ; pages:161-174 ; extent:14
Advanced nonlinear studies ; 10, Heft 1 (2010), 161-174 (gesamt 14)

Creator
Idczak, Dariusz
Walczak, Stanisław

DOI
10.1515/ans-2010-0108
URN
urn:nbn:de:101:1-2405021656475.339466506559
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 10:50 AM CEST

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Associated

  • Idczak, Dariusz
  • Walczak, Stanisław

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