Global asymptotic stability in a class of nonlinear differential delay equations | Zendy

Anatoli F. Ivanov | Zendy; Musa Mammadov | Zendy

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Global asymptotic stability in a class of nonlinear differential delay equations

Author(s) -

Anatoli F. Ivanov,

Musa Mammadov

Publication year - 2011

Publication title -

conference publications

Language(s) - English

Resource type - Book series

DOI - 10.3934/proc.2011.2011.727

Subject(s) - nonlinear system , exponential stability , class (philosophy) , stability (learning theory) , mathematics , delay differential equation , differential equation , mathematical analysis , control theory (sociology) , computer science , physics , control (management) , quantum mechanics , artificial intelligence , machine learning

An essentially nonlinear dierential 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.

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