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

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

2009-01-09

arxiv.org/abs/0901.1277v1

Mathematics

Dynamical Systems

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

Scientific paper

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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