Asymptotic stability of differential equations with several delays

• Autores: Chuhua Jin, Jiaowan Luo
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 78, Fasc. 1, 2011, pág. 7
• Idioma: inglés
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• Resumen

  • 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.