Nonoscillation and exponential stability of the second order delay differential equation with damping

Leonid Berezansky
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  • Department of Mathematics, Ben-Gurion University of the Negev Beer-Sheva, Beersheva, Israel
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, Alexander Domoshnitsky, Mikhail Gitman and Valery Stolbov

Abstract

For a delay differential equation

x¨(t)+a(t)x˙(t)+k=1mbk(t)x(gk(t))=0,gk(t)t,
a generalized Riccati inequality is constructed for nonoscillation and exponential stability of the differential equation.

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