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Global asymptotic stability in a class of nonlinear differential delay equations

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journal contribution
posted on 2011-09-01, 00:00 authored by A F Ivanov, Musa MammadovMusa Mammadov
An essentially nonlinear differential equation with delay serving as a mathematical model of several applied problems is considered. Sufficient conditions for the global asymptotic stability of a unique equilibrium are derived. An application to a physiological model by M.C. Mackey is treated in detail.

History

Journal

Discrete and continuous dynamical systems- series a

Issue

Supplement 2011

Pagination

727 - 736

Publisher

American Institute of Mathematical Sciences

Location

Springfield, Mo.

Publisher DOI

Link to full text

ISSN

1078-0947

eISSN

1553-5231

Language

eng

Publication classification

C1.1 Refereed article in a scholarly journal

Copyright notice

2011, American Institute of Mathematical Sciences

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Global asymptotic stability in a class of nonlinear differential delay equations
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Keywords

Science & TechnologyPhysical SciencesMathematics, AppliedMathematicsNonlinear differential delay equationsSingular perturbationsGlobal asymptotic stabilityReduction to multi-valued discrete mapsInterval maps.

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