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- W2031915025 abstract "We consider a class of functional–difference equations in a Banach space with causal operators, which have the local Lipschitz property. Sufficient conditions for the boundedness of solutions and the Lyapunov stability are given. We offer some explicit stability criteria when the equations are defined on separable Hilbert spaces. Our approach is based on the representation of solutions combined with new norm estimates for operator-valued functions. Applications of the main results of the paper to the stability of abstract discrete-time control systems are especially investigated." @default.
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- W2031915025 date "2009-06-01" @default.
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- W2031915025 title "Stability of abstract non-linear non-autonomous difference-delay equations" @default.
- W2031915025 doi "https://doi.org/10.1093/imamci/dnp010" @default.
- W2031915025 hasPublicationYear "2009" @default.
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