W-transform for exponential stability of second order delay differential equations without damping terms.
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.
Department of Mathematics, Ariel University, Ariel, Israel.
Alexander
A
Domoshnitsky
Department of Mathematics, Ariel University, Ariel, Israel.
Abraham
A
Maghakyan
Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva, 84105 Israel.
Leonid
L
Berezansky
W-method; exponential stability; second order delay differential equations