Sentence examples for nonlinearity terms from inspiring English sources

Using the principle of poles assignment method, the switching function is designed to guarantee Anti-synchronization of slide mode with nonlinearity terms.

In order to overcome the difficulty caused by the critical nonlinearity terms (u^{3}) and the parameter b belonging to the real set (mathbb{R}), we take advantage of the Gagliardo-Nirenberg inequality several times.

Usually, in order to obtain positive solutions of semipositone problems for ordinary differential equations or difference equations by using fixed point methods, the nonlinearity terms need to be bounded below and ultimately positive.

This paper used an ideal periodic solution which is called max min approach (MMA) to evaluate oscillation systems with nonlinearity terms such as motion of a rigid rod rocking back.

In this paper, we propose a new state feedback controller using dynamic gain for input-delayed systems with high-order nonlinearity terms in both feedforward and non-feedforward forms.

The approach is applicable to nonlinear LPEs of a general nature without any restrictions on nonlinearity type, number of nonlinear terms, nonlinearity arrangement, or system order.

In Example 4.1, the nonlinearity term f has singularity at (t=0) and (t=frac{1}{2}).

We assume that the nonlinearity term f in (5) satisfies the following conditions.

Checking of the second nonlinearity term specifies that it decreases as nonextensive parameter raises.

However, in these therein, the nonlinearities are nonsingular, what would happen if the nonlinearity term is singular?

In this case the amplitude equation (2) loses its cubic nonlinearity term and it becomes a linear equation only.