On Asymptotic Stability of Solutions to Third Order Nonlinear Differential Equations with Retarded Argument

TitleOn Asymptotic Stability of Solutions to Third Order Nonlinear Differential Equations with Retarded Argument
Publication TypeJournal Article
Year of Publication2007
AuthorsTUNC, CEMIL
Secondary TitleCommunications in Applied Analysis
Volume11
Issue4
Start Page515
Pagination528
Date Published12/2007
Type of Workscientific: mathematics
ISSN1083–2564
AMS34K20.
Abstract

In this paper, we are concerned with the asymptotic stability of the trivial solution of third order nonlinear delay differential equations of the form

By constructing a Lyapunov functional, we establish some new sufficient conditions which insure that the trivial solution of this equation is the asymptotically stable. In particular, an example is given to illustrate the importance of our result.

URLhttp://www.acadsol.eu/en/articles/11/4/6.pdf
Short TitleDIFFERENTIAL EQUATIONS
Refereed DesignationRefereed
Full Text

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