Nonoscillation and Stability of the Second Order Ordinary Differential Equations with a Damping Term

Leonid Berezansky, Elena Braverman, Alexander Domoshnitsky

In this paper we consider the linear ordinary equation of the second order $$ L x(t)\equiv \ddot{x}(t) +a(t)\dot{x}(t)+b(t)x(t)=f(t), \eqno{(1)} $$ and the corresponding homogeneou…