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For this equation condition (2.11) does not hold in Theorem 2.8, while condition ( H 10 ) is satisfied.
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When k = 2, the companion inequalities (1.1 - 1.4 1.1 - 1.4and (1.6), and their equation conditions are obtained.
In view of [12, 13]etc., we see the discussion of the equation conditions for the inequalities is significant.
Given dynamical system equations, conditions for robust asymptotic stability can be explicitly found in terms of global bounds on nonlinear variation terms around fixed desired behavior.
The synthetic data are statistically consistent with hypothesized levels of error in the KdV equation, initial condition and observing system.
As a matter of fact, x ( t ) = e − t is a solution of this equation satisfying condition (2.5).
Results are expressed as in Equation 1: Condition media were obtained incubating 5 × 10 cells of each cell line in 1.5 ml DMEM for 24hs.
The authors are advised to present the complete underlying assumptions and governing PDE equations, boundary conditions, initial conditions, and the parameters used for the modeling.
In this paper, the author derives the general profile equations, meshing constraint equations and non-undercut condition equations.
The governing equations, initial conditions and boundary conditions are derived by utilizing the Hamilton's principle.
To solve the equation, boundary conditions at the top and bottom (CMB) of the D ″ layer are required.
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