Sentence examples for use the multiplier method from inspiring English sources

Here we use the multiplier method [34] to construct conservation laws for the coupled DSSH system (1).

We use the multiplier method and some properties of convex functions to establish a general decay result.

We mainly use the multiplier method to overcome these difficulties and drop the additional conditions for the moving boundary.

The key point is to define directly the energy function of a wave equation in the non-cylindrical domain and use the multiplier method to overcome these difficulties.

Also, the conservation laws for the BKP equation were derived by using the multiplier method.

In addition to this, conservation laws are constructed for (1.1) using the multiplier method [24].

Furthermore, the conservation laws for the BKP equation are constructed by using the multiplier method.

In 2008, Xu et al. [21] investigated the asymptotic behavior of solutions for (1.6) by using the multiplier method.

In 2008, Xu et al. [5] used the multiplier method to investigate the asymptotic behavior of solutions for (1.3).

Using the multiplier method and some properties of the convex functions, we establish the general decay of energy.

Furthermore, conservation laws for the system (1.1a) and (1.1b) were derived by using the multiplier method and the new conservation theorem.