Sentence examples for class of evolution from inspiring English sources

The control design, well-posedness, and stability analysis are based on two Lyapunov-type theorems developed for a class of evolution systems in Hilbert space.

The paper develops a numerical method based on the interacting particles approximation (propagation of chaos) for the solution of a large class of evolution problems involving the fractional Laplacian operator and a non-local quadratic-type non-linearity.

The control design, well-posedness and stability analysis are based on various relationships between the earth-fixed and body-fixed coordinates, Sobolev embeddings, and a Lyapunov-type theorem developed to study well-posedness and stability for a class of evolution systems in Hilbert space.

Motivated by the celebrated example of Y. Kannai of a linear partial differential operator which is hypoelliptic but not locally solvable, we consider a class of evolution operators with real-analytic coefficients and study their local solvability both in L2 and in the weak sense.

In this paper, we get a new form equivalent integral equation for a class of evolution equations of fractional order with nonlocal conditions on the half-line.

Very recently, Gu and Trujillo [18] investigated a class of evolution equations involving the Hilfer fractional derivatives by using Mittag-Leffler functions.

Weighted pseudo almost periodic solutions to classes of evolution equations have been studied since the original paper of Diagana [4] in 2006.

Some classes of evolution equations have been considered by El-Borai [21, 22], Jaradat et al. [23] studied the existence and uniqueness of mild solutions for a class of initial value problem for a semilinear integrodifferential equation involving the Caputo's fractional derivative.

These authors have also verified that the teachers who attended more class hours of evolution during their majoring courses demanded more time for evolution teaching in their biology classes, and well-prepared teachers used up to 60% more time in teaching evolution than the others.

Yoder's class, "Politics of Evolution," left Minasandram dazzled by the prospect of working with lemurs at the center, a mile from Duke's main campus.

Based on an equivalent integral equation of a new type for a class of fractional evolution equations, which is different from those obtained in the existing literature, the paper investigates a class of fractional evolution equations with nonlocal conditions on infinite interval.