Sentence examples for corresponding ones of from inspiring English sources

First, we characterize the control properties, such as controllability of such a PDE system, in terms of the corresponding ones of a finite-dimensional discrete-time system defined on the boundaries of the PDE system, which is derived by fully exploiting the method of characteristics.

The effect of flow confinement (finite b) on gaseous ignition is examined by comparing ignition distances with the corresponding ones of the unconfined (flat plate) case.

Our results extend and generalize the corresponding ones of [3].

Our results extend and improve the corresponding ones of [10].

These results extend the corresponding ones of ordinary differential equations of integer order.

Our results improve the corresponding ones of Sedghi et al. [18] and Hu [17].

The obtained results include the corresponding ones of the classical Bernstein operators.

Our methods and results are different from the corresponding ones of [9].

(3.18) The rest of the proof works almost analogously to the corresponding ones of Theorem 3.1.

Comparing our results of this paper with the corresponding ones of [1], we can easily see that our results are not included in [1], and generalize and extend the corresponding ones of [1].

Our results extend and improve the corresponding ones of Wang et al. (Abstr. Appl. Anal. 2012 315138, 2012).