Sentence examples for mild evolution from inspiring English sources

We observe a mild evolution in the entropy of clusters.

A mild evolution of bulk gas bubbles (H2-O2 gas mixture) is proved to drive an in-situ structure rearrangement process of the Ni3S2@NPC and results in substantial increases in the HER activity.

We present three cases of previously healthy adult patients diagnosed with varicella in December 2012 with uncommon onsets, but with mild evolution of the disease.

These branches appear to have experienced acceleration of rRNA genes well beyond the mild accelerated evolution of rRNA that occurred along the lineages leading to all snakes and to the Alethinophidia.

Mice treated with EGF exhibited a milder clinical evolution and acute lethality was significantly reduced as compared to saline counterparts (P<0.01).

However, most of the existing articles only studied the existence and uniqueness of mild solutions for evolution equations with nonlocal conditions, there are very few papers considered the regularity results for nonlocal evolution equations.

The works mentioned above mainly establish the existence of mild solutions for evolution equations or inclusions with nonlocal conditions.

The term (I_{i}(x(t_{i}))) means that the impulses are also related to the value of (x(t_{i})=x(t^_{i})). From the results obtained in the papers [21 24], we know that the definition of mild solutions for fractional evolution equations is more involved than integer order evolution equations.

However, we observed that all of the existing articles are only devoted to the study of the existence, uniqueness, and controllability of mild solutions for fractional evolution equations; up to now the continuous dependence of mild solutions on parameters for fractional evolution equations has not been considered in the literature.

By the results obtained in [24, 47, 56 59], we realize that the definition of mild solutions for fractional evolutions is more involved than integer order evolution equations.

Let us recall the following definition of mild solutions for fractional evolution equations involving the Caputo fractional derivative.