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Note that (1.22) depends on a concrete time scale.
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We characterize those linear dynamical equations for a Banach space whose existence and uniqueness of global solutions do not depend on concrete time scales.
It is natural to ask whether or not there exists a class of equations whose existence and uniqueness of global solutions do not depend on the concrete time scales.
In [7, 17], Hilger obtained the existence and uniqueness conditions for the global solutions to nonlinear and linear dynamical equations, while the conditions are closely dependent on the concrete time scales.
Theorem 1.1 The class U is the largest one of those classes A ensuring that equation (1) has exactly one global solution for any time scale T and any rd-continuous A : T → B ( X ) with V ( A ) ⊆ A. From Theorem 1.1 we obtain the largest class of equations whose existence and uniqueness of global solutions do not depend on the concrete time scales.
Finally, because implementation aspects for the national concept are critical for the success of this initiative, we call upon the newly elected 2013 German government to formulate a global health strategy, which includes a concrete plan of action, a time scale, and measurable goals.
For building materials like concrete these measurements are performed on a much longer time scale than in flash lamp experiments.
We urge the new German government to develop a concrete plan of action to support global health, including a time scale and measurable goals.
Laidlaw has also said he plans to leave Centrica but, in an analyst call on Thursday, declined again to give a time scale, saying he would only comment when something concrete was decided.
(See the geologic time scale).
Even that time scale implies ambition.
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