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

preprint2009arXivOpen access

For the delay differential equations $\ddot{x}(t) +a(t)\dot{x}(g(t))+b(t)x(h(t))=0, g(t)\leq t, h(t)\leq t,$ 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.

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

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