Sentence examples for proving that the initial from inspiring English sources

The function will be a solution to the mixed problem (3.9) after proving that the initial condition is satisfied.

More specifically, IFNβ deficient mice show a significant decrease in serum IFNα levels proving that the initial production of IFNβ is a prerequisite for high level type I IFN secretion in this infection model.

In [16] there was considered the initial-boundary value problem for a pseudodifferential equation with a nonanalytic homogeneous symbol, where the theory of sectionally analytic functions was implemented for proving that the initial-boundary value problem is well posed.

We prove that the initial phase difference Ψ plays an important role in suppressing or inducing chaos in complex systems.

The post-wrinkling behavior is also considered to prove that the initial pattern of wrinkles is not affected.

Generally the obtained results proved that the initial debonding pattern and stiffeners arrangement have a crucial effect on the bending behavior of the structure.

We prove that the initial boundary value problem of the incompressible two-dimensional Euler equations admits a unique solution and discuss the stability of the solution.

The simulation results prove that, the initial growth stage of a 10 nm single hemispherical silver nucleus always starts under kinetic control, regardless of concentration and electrode potential.

In [20], the authors proved that the initial multidimensional fixed point result, Theorem 9 in [11], can be derived from Theorem 2.1 in [21] either.

We prove that the initial trace is an outer regular Borel measure which may not be locally bounded for some values of the parameters p and q.

It is proved that the initial prototype can not only self-sustain an equilibrium pressure for more than 2 months without power but also withstand the mechanical vibration test and space environment simulation test.