Sentence examples for applications the operator from inspiring English sources

This class arises in several applied fields, like viscoelasticity or heat conduction with memory, and in such applications the operator A typically is the Laplacian, the elasticity operator or the Stokes operator, among others, equipped with suitable boundary conditions.

As an application, the operator expressions, reverse inequalities, and Hardy-type inequalities are considered.

Further, a proper set of conditions has been discussed to rectify the errors and applications pointed out in Remarks 1 and 2. Some interesting applications of the operator used in this paper were pointed out in Note 1.

China is processing about 80 applications for the operator's certificate, he estimated.

The purpose of this article is to give some properties and applications about the operator (-Delta-Delta_{p}) ((pneq2 (pneq2)).

Inspired by their work, in this paper, we construct two generalized q-exponential operator with three parameters and give some operator identities to further investigate the applications of the operator technique.

Some applications of the operator J s, b ( f ) to certain classes in Geometric Function Theory can be found in [14 16] and [17].

In the framework discussed in Section  1 this means that we have to bound at least three applications of the operator b (u ⋆ ) to the exact solution.

Note that in the linear case this assumption is equivalent to the fact that b 3 u (t ) can be bounded; i.e., we have to bound three applications of the operator b to the exact solution.

Furthermore, its application in the operator theory is considered.

Furthermore, its application in the operator theory is considered in Theorems 3-4.