On the Perturbational Global Attractivity of Nonautomous Delay Differential Equations

Luo Jiaowan; Liu Zaiming

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Luo Jiaowan, Liu Zaiming. On the Perturbational Global Attractivity of Nonautomous Delay Differential Equations[J]. Applied Mathematics and Mechanics, 1998, 19(12): 1107-1111.

Citation:

Luo Jiaowan, Liu Zaiming. On the Perturbational Global Attractivity of Nonautomous Delay Differential Equations[J]. Applied Mathematics and Mechanics, 1998, 19(12): 1107-1111.

Citation:

Luo Jiaowan, Liu Zaiming. On the Perturbational Global Attractivity of Nonautomous Delay Differential Equations[J]. Applied Mathematics and Mechanics, 1998, 19(12): 1107-1111.

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On the Perturbational Global Attractivity of Nonautomous Delay Differential Equations

Research Institute of Sciences, Changsha Railway University, Changsha 410075, P. R. China

Received Date: 1996-10-24
Rev Recd Date: 1997-05-22
Publish Date: 1998-12-15

Abstract

Abstract

Consider the perturbed nonautonomous linear delay differential equation x>(t)=-a(t)x(t-τ)+F(t,x_t),t≥0(*)Wherex_t(s)=x(t+s) for-δ≤s≤0.Suppose thata(t)∈C((0,∞),(0,∞)),τ≥0,F:[0,∞)×C[-δ,0]→Ris a continous functions and F(t,0)≡0.HereC[-δ,0]is the space of continuous functions Φ[-δ,0]→Rwith||Φ||<Hfor the norm where|·|is any norm in R and 0<H≤+∞.
- perturbational global attractivity

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References(11)

References

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