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

Abstract

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 $$\ddot{x}(t)+a(t)\dot{x}(t)+b(t)x(t)+a_1(t)\dot{x}(g(t))+b_1(t)x(h(t))=0$$ explicit exponential stability conditions are obtained.

to appear in the journal "Differential Equations and Dynamical Systems"

References in corpus (1)

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