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This phenomenon is impossible for processes with bounded memory, and the different convergence rates which depend on the asymptotic behaviour of the initial history in this case is an exact analogue to the history-dependent decay rates recorded here.
In this paper we consider the asymptotic behaviour of linear and nonlinear Volterra integrodifferential equations with infinite memory, paying particular attention to the connection between the asymptotic behaviour of the initial history as and the rate of convergence of the solution to a limit.
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In this model, there are two factors determining the behaviour of the system: initial enzyme concentration and the equilibrium product concentration.
It suggests that the community's long-term behaviour is independent of the initial induction level, although the initiation of a community effect requires a sufficient amount of inducing signal.
The proposed method was able to yield a good match with both the FEA and test results for the individual component behaviour in terms of the initial and secant stiffness as well as the ultimate strength.
The non-steady-state behaviour of the filter in the initial period of filtration was followed.
Actually, the second-order equation shows linear behaviour in the initial portion of the experiment also, though the linear section is quite short.
A major problem encountered in the experimental investigation of the nonlinear viscoelastic behaviour is the mode of the initial applied loading and its effect in the overall viscoelastic response of the test sample.
Re-registration for delinquent behaviour within two years of the initial registration was defined as re-offending.
For moderate levels of water (CLH2O/CLH2<4 corresponding to PH2O/PH2<0.4), a simple kinetic model assuming a reversible oxidation of cobalt active sites by water in competition with their reduction by hydrogen seems to represent satisfactorily the initial behaviour of the catalyst.
This new evidence, along with the behaviour of the judge in both the initial case and the appeal, made the case controversial enough that Members of Parliament from the three major political parties directly questioned the Home Secretary on the matter.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com