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- W2057394082 abstract "Abstract In this paper, we present two Perron-type asymptotic stability results for a neutral functional differential equation of the form x′(t)=Sx(t)+Px(t−r)+ d d t Q(t,x t )+G(t,x t ), when the linear part (x′(t)=Sx(t)+Px(t−r)) is asymptotically stable. In particular, Q and G are allowed to be unbounded functions of t and Q need not be differentiable. The results are based on Krasnoselskii's fixed point theorem. It is to be emphasized that, unlike Perron, we obtain only asymptotic stability because of the unboundedness of Q and G." @default.
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- W2057394082 date "2003-11-01" @default.
- W2057394082 modified "2023-09-30" @default.
- W2057394082 title "Perron-type stability theorems for neutral equations" @default.
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- W2057394082 doi "https://doi.org/10.1016/s0362-546x(03)00240-2" @default.
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