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Zbl 0755.34074
Yoneyama, Toshiaki
The 3/2 stability theorem for one-dimensional delay-differential equations with unbounded delay.
(English)
[J] J. Math. Anal. Appl. 165, No.1, 133-143 (1992). ISSN 0022-247X

Conditions for uniform stability and uniform asymptotic stability are derived for equations of the type $x'(t)=-a(t)x(g(t))$. The main assumptions are that $g(t)\to\infty$ as $t\to\infty$ and $\sup\sb{t\ge 0}A(t)\le 3/2$, $\inf\sb{t\ge 0}A(t)>0$, where $A(t)=\int\sp t\sb{g(t)}a(s)ds$.
[M.M.Konstantinov (Sofia)]
MSC 2000:
*34K20 Stability theory of functional-differential equations
34D20 Lyapunov stability of ODE

Keywords: uniform asymptotic stability

Cited in: Zbl 0977.34070

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