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This is much much stronger then BIBO & asymptotic.
An asymptotic analysis is any of several methods for describing and analyzing the behaviour of a system at its limits.
Peter D. Miller has written:
'Applied asymptotic analysis' -- subject(s): Asymptotic theory, Differential equations, Integral equations, Approximation theory, Asymptotic expansions
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Edward Thomas Copson has written:
'Asymptotic expansions' -- subject(s): Asymptotic expansions