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That is, the methods proposed in [15, 16] are ineffective for the exponential stability in mean square for such systems.
Therefore, the impulsive equations (2.1 - 2.2 2.1 - 2.2bally exponential robushowtability in mean square for all admissible uncertainties.
Some sufficient conditions, which can guarantee the existence, uniqueness, and exponential stability in mean square for such systems, are obtained.
Good comparisons are shown with the experimental data mean and root mean square for both the gas phase and spray droplets profiles.
On the other hand, the implicit Euler scheme to SLSDDEs is known to be exponentially stable in mean square for any step size.
Under conditions (H ) and (H ), the existence, uniqueness, and exponential stability in mean square for the solution of system (4.14) can be obtained only if the inequality (4.15).
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In this paper, we present a new formal test, which is based on mean squares, for analyzing three-level orthogonal saturated designs.
Table 3 Analysis of variance (mean squares) for various growth features of S. halepense seedlings grown at different alkaloid concentrations Characters MS Datura s Significance MSConc Significance MSInter Significance Germination 247.80 N.S 38.90 N.S. 141.09 N.S.
Relative mean square was calculated as the mean square of each factor normalized by the sum of mean squares for each spot [33].
The p-values are based on testing the ratio of mean squares for a factor (like 'mask') and the mean square of errors (random fluctuations), assuming that ratio is F-distributed.
The mean squares for FA and individual variation exceeded the error components by more than 41-fold (Table 1), indicating that measurement error was negligible relative to the biological shape variation.
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