Sentence examples for discussed by the method from inspiring English sources

Under periodic-integrable boundary value condition, the existence of the solutions of this equation is discussed by the method of the operator theory and the Schauder fixed point theorem.

The local truncation error is analyzed and the stability is discussed by the Fourier method.

Priori estimate and the convergence of the finite difference approximate solutions are discussed by the discrete energy method.

In Section 3, the existence of order-1 periodic solution of system (1) is discussed by the successor function method and Bendixson theorem of impulsive differential equations.

Complete moment convergence for product sums of sequences of extended negatively dependent random variables are discussed by utilizing the method of Wang et al. (Chin. Ann. Math., Ser. A 22 701-706, 2001).

Then the vibration control of the above system is discussed by the slide mode control (SMC) method.

The solitonic propagation and collision are discussed by the graphical analysis and characteristic-line method.

As the curl theorem was discussed by our new method of an integral in the previous paper [4], the divergence theorem is discussed by our new method of an integral in this paper.

In Section 2, the local stability of equilibria for system (1.6) is discussed by using the linearized method.

The flowrates and clearance volume of the diaphragm compressor also were discussed by using experimental method.

Havelock's contention that Socrates and Plato belonged to different philosophical eras was the first instance of one that would become central to his work: that a basic shift in the kinds of ideas being discussed by intellectuals, and the methods of discussing them, happened at some point between the end of the fifth century BC and the middle of the fourth.