Sentence examples for affects the existence from inspiring English sources

In general, we may think that the source time (q(x u^{gamma}) only affects the existence of the weak solutions.

The main aim of the paper is to show how the damping term − u m q 1 | ∇ u m p 1 | affects the equation, including how the damping term affects the existence of the solution and how the damping term affects the properties such as the extinction of the solution.

Moreover, we show that the local behavior of f at zero affects the existence in a crucial way: this allows us to prove the existence of ground states for a large class of functions f u) without imposing any restriction on their growth for large u.

Starch phosphorylase together with β-amylase constitute the two main sinks of the model system; the availability of the starch phosphorylase gene (Ot0402110) affects the magnitude of the first maltose peak and β-amylase affects the existence of the second one (Additional file 1, Figure S12, D).

We first examine what factor(s) affect the existence of j-type households and under what condition(s) they exists.

But who can account for the odd ways in which people meet and affect the existence of others?

The picture is made even more complex by the fact that unusually low levels of rainfall (so-called meteorological drought) isn't the only factor affecting the existence or significance of drought conditions.

Moreover, the delay τ may affect the existence of periodic solutions.

However, time-varying graph assumption does not affect the existence of steady state.

Hence our result reveals that rotation does not affect the existence of solutions of rotating MHD fluids.

A new obstacle or barrier to the system may change the equilibrium of the system and affect the existence of the trail fully or partially.