On the Fundamental Solution of Linear Delay Differential Equations with Multiple Delays

نویسندگان

  • Tibor Krisztin
  • Gabriella Vas
چکیده

For a class of linear autonomous delay differential equations with parameter α we give upper bounds for the integral ∞ 0 |X (t, α)| dt of the fundamental solution X (·, α). The asymptotic estimations are sharp at a critical value α0 where x = 0 loses stability. We use these results to study the stability properties of perturbed equations.

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تاریخ انتشار 2011