Resumen de Asymptotic stability of differential equations with several delays

Chuhua Jin, Jiaowan Luo

• The linear scalar differential equation with several delays x �� (t) = ..

  �°N i=1 bi(t)x(t .. i(t)) is investigated, where bi(t) 2 C(R+;R) and i(t) 2 C(R+;R+) for i = 1; 2; : : : ;N.

  Using fixed point theory, some new conditions for asymptotic stability of the zero solution are established. For N = 1, our theory improves the results in the earlier publications. For N = 2, two examples, which the results in the literature can not be applied to, are given to show the feasibility and effectiveness of our result.