Sentence examples for by multiplier from inspiring English sources

Under suitable assumptions, we establish a general decay result by multiplier techniques, which extends some existing results for a single equation to the case of a coupled system.

The aim of this paper is to give the radius of starlikeness of the certain classes of -valent functions defined by multiplier transformations.

However, in our method, since n earlier DMUs evaluated by multiplier form and the classification of efficient and inefficient DMUs specified, we can easily find all defining hyperplanes of T v with applying the proposed algorithm in Jahanshahloo et al. (2009).

Mustafa [16] studied the following system: { u t t − Δ u + ∫ 0 t g 1 ( t − τ ) Δ u d τ + f 1 ( u, v ) = 0, v t t − Δ v + ∫ 0 t g 2 ( t − τ ) Δ v d τ + f 2 ( u, v ) = 0, (1.3). in Ω × ( 0, + ∞ ) with initial and Dirichlet boundary conditions, proved the existence and uniqueness to the system by using the classical Faedo-Galerkin method and established a stability result by multiplier techniques.

Motivated by [16, 17], in this paper, we shall establish the general energy decay for the problem (1.1) by multiplier techniques, which extends some existing results for a single equation to the case of a coupled system.

In total, that's more sharing of articles contributed by multipliers than of the original post itself!

Specifically, we consider trilinear operators determined by multipliers that are products of two functions m1 ξ1,ξ2) and m2 ξ2,ξ3), such that the singular set of m1 lies in the hyperplane ξ1= ξ2 and that of m2 lies in the hyperplane ξ2= ξ3.

In other words, the neuron operations are performed by multipliers and adders.

Our data analysis suggests that the uncertainty range related to the average permeability can be expressed by multipliers of 2 and 0.5.

The averaged core analysis data from the Stenlille wells suggest that the uncertainty range can be expressed by multipliers of 2 and 0.5 (Fig. 9).

Moreover, these ranges are substituted by multipliers.