Sentence examples for characters of solutions from inspiring English sources

In this section, we provide some numerical simulations in order to evince the performance of our method in general and, in particular, its capability to preserve the non-negative and bounded characters of solutions.

In this section we investigate the global attractivity character of solutions of Equation 1.

Such estimates provide crucial information regarding the dispersive character of solutions of the Klein-Gordon equation on these spacetimes.

We consider here an open problem proposed in [1] related to the global character of solutions of the plant-herbivore model x_{n+1}=frac{alpha x_{n}}{beta x_{n}+e^{y_{n}}},qquad y_{n+1}= gamma(x_{n}+1 y_{n}, (1) where (x_{n}) and (y_{n}) are the population biomasses of the plant and the herbivore in successive generations n and (n+1), respectively.

We postulate that the insensitivity of the wavelength of the periodic structure is due to the nonflow-aligning character of PHIC solutions.

The drag reduction character of surfactant solutions was observed to be affected by concentration, pipe diameter, pipe roughness, and solvent type.

Due to the automodelling character of the solutions of Eqs.

In [21] the boundedness character of positive solutions is studied.

In this section we concern ourselves with the boundedness character of the solutions for System (9).

It is a classical problem to see how bounded perturbations of the right-hand side of equation (3), as well as of coefficient q influence on the boundedness character of the solutions of such obtained equations.

In this section we investigate the local stability character of the solutions of Equation 1. Equation 1 has a unique positive equilibrium point and is given by x ¯ = a x ¯ 2 b x ¯ - c x ¯, if a ≠ b-c, b ≠ c, then the unique equilibrium point is x ̄ = 0. Let f : (0, ∞ 4 → (0, ∞) be a function defined by f ( u, v, w, s ) = a u v b w - c s. (5).