Stability of the Second Order Delay Differential Equations with a Damping Term

Leonid Berezansky, Elena Braverman, Alexander Domoshnitsky

For the delay differential equations $$\ddot{x}(t)+a(t)\dot{x}(g(t))+b(t)x(h(t))=0,g(t)\le t,h(t)\le t,$$ and $$ \ddot{x}(t) +a(t)\dot{x}(t)+b(t)x(t)+a_1(t)\dot{x}(g(t))+b_1…