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W-transform for exponential stability of second order delay differential equations without damping terms
Alexander Domoshnitsky1, Abraham Maghakyan1, Leonid Berezansky2
1Department of Mathematics, Ariel University, Ariel, Israel.
Abstract:
In this paper a method for studying stability of the equation [Formula: see text] not including explicitly the first derivative is proposed. We demonstrate that although the corresponding ordinary differential equation [Formula: see text] is not exponentially stable, the delay equation can be exponentially stable.
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