Stability analysis of homogeneous differential-difference equation with linear delay

A. P. Zhabko ; O. N. Chizhova

Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 3 (2015), pp. 105-115

Résumé

A homogeneous differential-difference equation with linearly increasing time delay is considered. Some sufficient conditions for asymptotic stability and instability of zero solution well-known for the linear equation with linearly increasing time delay are summarized in homogeneous equations. The speed of solution decreasing is estimated. Refs 20.

Détail

Keywords: homogeneous differential-difference equation, linearly increasing time delay, asymptotic stability, instability.

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