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Stability of the second order delay differential equations with a damping term. (English) Zbl 1180.34077

Summary: For the delay differential equations
\[ \ddot x(t) + a(t)\dot x(g(t)) + b(t)x(h(t)) = 0, \quad g(t)\leq t,\quad h(t)\leq t, \]
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.

MSC:

34K20 Stability theory of functional-differential equations
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References:

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