JournalspmVol. 66 / No. 1DOI 10.4171/pm/1831

Stability criteria for certain third order nonlinear delay differential equations

  • Cemil Tunç

    Yüzüncü Yıl University, Van, Turkey
Stability criteria for certain third order nonlinear delay differential equations cover

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Abstract

In this paper we study the asymptotic stability of the trivial solution of third order nonlinear delay differential equations of the form

x'''(t) + f(x(t), x'(t))x''(t) + g(x(t − r), x'(t − r)) + h(x(t − r)) = 0,

where r > 0 is a constant delay. In proving our result we make use of Lyapunov’s second method by constructing a Lyapunov functional.