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• W2019917506 abstract "We suppose that M is a closed subspace of l∞(J, X), the space of all bounded sequences {x(n)}n∈J ⊂ X, where J ∈ {Z+, Z} and X is a complex Banach space. Consider the operator difference equation , where ψ ∈ l∞(Z, X) such that the restriction ψ|J on J belongs to M, and A is the generator of a C0-semigroup of linear bounded operators (T(t))t≥0 on X. Certain conditions will be imposed to guarantee the existence of solutions in the class M. We deduce that the zero equilibrium of the homogeneous equation , is globally asymptotically stable iff every solution is bounded." @default.
• W2019917506 created "2016-06-24" @default.
• W2019917506 creator A5002771529 @default.
• W2019917506 date "2002-11-01" @default.
• W2019917506 modified "2023-09-28" @default.
• W2019917506 title "Stability of abstract difference equations" @default.
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• W2019917506 doi "https://doi.org/10.1016/s0895-7177(02)00236-4" @default.
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