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Zbl 0663.34059
Yoneyama, Toshiaki; Sugie, Jitsuro
On the stability region of scalar delay-differential equations.
(English)
[J] J. Math. Anal. Appl. 134, No.2, 408-425 (1988). ISSN 0022-247X

The paper deals with the uniform stability of the zero solution to the functional differential equation $\dot x(t)=F(t,x\sb t)+G(t,x(t)),$ where $\vert G(t,x)\vert \le a(t)\vert x\vert$ and -b(t)[f]$\le F(t,f)\le b(t)[-f]$, $[f]=\sup \{f(t): -q\le t\le 0\}$. The stability conditions are given in terms of the comparison'' equation $\dot x(t)=a(t)x(t)- b(t)x(t-r(t)),$ $0\le r(t)\le q$.
[M.M.Konstantinov]
MSC 2000:
*34K20 Stability theory of functional-differential equations
34D20 Lyapunov stability of ODE

Cited in: Zbl 0706.34065

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