Sentence examples for proved stability of from inspiring English sources

Recently, Ciepliński [14] studied and proved stability of multi-additive mappings in non-Archimedean normed spaces, also see [15 22].

Analysis of quality control samples left for 24 h at room temperature was carried out and results are shown in Table 3 which proved stability of all samples under working conditions.

Since feedback is often collected using error-prone measurement mechanisms, for example, biased estimator or unbiased estimator, they adopted the knowledge of stochastic approximation and proved stability of the algorithms of single-time scale and two-time scale.

AQUAPORIN NIP1-2-LIKE co-localized with δCS1LG6i, which was found interesting because of the importance of aquaporins in determining the leaf water status [ 129] and the proved stability of this QTL.

We prove stability of the spectral gap for gapped, frustration-free Hamiltonians under general, quasi-local perturbations.

In this paper we prove stability of Robin solid wall boundary conditions for the compressible Navier Stokes equations.

Finally, we extend the scheme to delayed nonlinear systems and prove stability of the closed loop system for proper values of the control parameter.

The Lyapunov direct method can thus be used to find adaptive laws for updating coefficients in the approximating series and to prove stability of the closed-loop system.

Similarly, we can prove stability of the difference solution.

We prove stability of the time-difference scheme, and deduce a local-time well-posedness theorem for MHD dynamics extended to ignore the divergence-free constraint on velocity and magnetic fields.

In relation to the analysis result proposed in [4] that involves a single matrix in order to prove stability of the system, additional variables are then introduced to decouple system matrices from the ones proving stability of the closed loop system.