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However, recent literature in mathematical biology contains instances of authors establishing stability of the Jacobian matrix by using erroneous results concerning eigenvalues of a matrix.
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In fact, they established stability of Cauchy functional equations over p-adic fields.
The authors of [1] were interested in the case of thermoelastic plate and they established stability of the rest state.
One of the methods to establish stability of difference equations is based on a recursive form of these equations; see the monographs [1, 2].
In this section, we first present the linearly extrapolated BDF2 scheme, then study the existence of numerical solutions, and finally establish stability of the numerical scheme.
The Lyapunov's theorem and the properties of CLF are used to establish stability of the constrained visual servoing system in the closed-loop with the optimized control law.
Using weak-flow asymptotics, we explicitly construct, and establish stability of, stationary, shear-perturbed PDFs for dilute concentrations; our formulas prove unsteady tumbling of perturbed isotropic states cannot occur.
Still cheaper than most countries around, more beautiful than some too, the historic villages, famous wines, tranquil coves and beaches are no longer a secret; the established stability of the country makes it a great vacation place I wouldn't mind returning to, and perhaps even see more dolphins!
AB performed the analytical calculations to establish stability of steady states and perturbative corrections for the model.
Adequate compressive force by the pedicle screws was applied to the disc space to establish stability of the fusion cages.
The index test was the second HbA1c test; the first HbA1c test was required to establish stability of glycemic control.
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