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math.DS2008★ 4 cited
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…
math.DS2008
New Stability Conditions for Linear Differential Equations with Several Delays
Leonid Berezansky, Elena Braverman
New explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation $$ \dot{x}(t)+\sum_{k=1}^m a_k(t)x(h_k(…