Sentence examples for solutions of evolution from inspiring English sources

We discuss the use of numerical methods in the study of the solutions of evolution problems which exhibit finite-time unbounded growth.

We discuss in this article the application of controllability techniques to the computation of the time-periodic solutions of evolution equations.

By the classical theory concerning the existence and uniqueness of the solutions of evolution differential equations (cf. [15]), we have the following lemma (see [23] for details).

On the other hand, the existence of periodic solutions or almost periodic solutions of evolution equations has been investigated by many authors (cf., e.g., [2, 4, 5, 9 11, 14, 15, 17 19, 24]).

By the classical semigroup theory of existence and uniqueness of solutions of evolution differential equations [20], the random partial differential equation (3.4) has a unique solution in the mild sense varphi t,omega)=e^{L t-tau)}varphi(tau,omega)+int_{tau}^{t}e^{L t-tauFbigl(varphi(s),omegabigr), ds for any (varphi(tau,omega)in E).

(B) The reached solution of evolution started from a single circle initial condition.

(D) The reached solution of evolution with slightly modified parameters compared to the evolution shown on Figure 6C. Figure 7 Histology image from the skin.

The complex method is a very important tool in finding the exact solutions of nonlinear evolution equation, and Eq. (3) is one of the most important auxiliary equations, because many nonlinear evolution equations can be converted to it.

The improved tan2 -expansion metan2 -expansionced to construct exact particular solutions of nonlinear evolution equations.

In this paper, we apply the exp-function method to construct generalized solitary and periodic solutions of nonlinear evolution equations.

The modified simple equation method is an efficient method for obtaining exact solutions of nonlinear evolution equations.