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Here, we review some properties of the exponential function on time scales.
The exponential function on time scales can display different forms when we choose different time scales.
To this end the approximation of the exponential function on time scale by a real exponential is used.
and is the exponential function on time scales; for more details on time scales, see [8, 9].
In particular, the exponential function on time scale is a real-valued function that is never equal to zero, but can be negative, see [13].
Since the matrix exponential function on time scale can be difficult to compute, also alternative conditions for the constrained controllability to a convex target set are presented.
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Tolcapone 200 mg tid was superior to placebo in UPDRS motor function score during "on" time.
Mathematical modeling assessed the effect of residual function on time-averaged solute concentrations.Dialytic clearances of the protein-bound solutes p-cresol sulfate, indoxyl sulfate, and hippurate were reduced in proportion to the avidity of binding and averaged 8±2, 10±3, and 44±13% of the dialytic urea clearance.
In the present work, we introduce the concept of almost automorphic functions on time scales and present the first results about their basic properties.
Then, we propose a concept of pseudo almost periodic functions on time scales and study some basic properties of pseudo almost periodic functions on time scales.
This function plays a very important role in introducing well-defined functions on time scales.
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