Sentence examples for be proved based on from inspiring English sources

If some of ({a_{i}(x)}) are degenerate on the boundary, a partial boundary value condition is imposed, the stability of weak solutions can be proved based on the partial boundary value condition.

In addition, the properties will be proved based on an implicit representation of the equations, in comparison with previous approaches [18, 19], where an explicit description of the model is obtained prior to analysis.

An actual increase in the number of outbreaks cannot be proven based on passive surveillance data alone, but an increase is strongly suggested by increased prevalence of GGII.4 in recent years and supported by reported shifts in the predominant GGII.4 variant associated with large numbers of outbreaks (8 ).

Tissue features related to elastic scattering and blood absorption have been extracted from label-free localized reflectance measurements, using no training information nor empirical models, although further contrast of this aim needs to be proven based on tissue simulating phantoms of known optical properties.

It has been proved based on Besov space norm theory.

Then, the asymptotic stability of the system is proved based on the Lyapunov method.

The convergence of the switching control is proved based on state sample trajectories.

The significance of velocity uniformity is proved based on the analysis and experiment.

The stability of the proposed scheme is proved based on the Lyapunov analysis method.

Their robustness is proved based on the proposed Lyapunov equation approach.

The stability of the overall closed-loop system is proved based on Lyapunov theory.