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arXiv · 0901.1277

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

Leonid Berezansky·Elena Braverman·Alexander Domoshnitsky
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Abstract

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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Leonid Berezansky, Elena Braverman, Alexander Domoshnitsky. 2009-01-09. Stability of the Second Order Delay Differential Equations with a Damping Term. https://arxiv.org/abs/0901.1277

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