trivial solution

trivial solution

[¦triv·ē·əl sə′lü·shən]
(mathematics)
A solution of a set of homogeneous linear equations in which all the variables have the value zero.
References in periodicals archive ?
By constructing a proper exponential-type Lyapunov-Krasovskii functional, linear matrix inequality (LMI) technique, Jensen integral inequality and free-weight matrix method, several novel sufficient conditions in terms of linear matrix inequalities (LMIs) are derived to guarantee the robust exponential stability in mean square of the trivial solution of the considered model.
2] < 1/2, then for any non- trivial solution f of (2), we have [lambda](f) = [infinity].
They gave only trivial solution with (m, n) = 1 and z > 0 for the equation 2[z.
The first term, being the continuity equation, is zero, and the trivial solution of the resulting equation gives simultaneously F = cte/P and F = 0.
In classical bifurcation theory [9], a standard assumption made is that there is a trivial solution from which bifurcation is to occur.
1) can now be transformed to the global exponential stability analysis of the trivial solution y = 0 of (2.
8), we obtain a trivial solution of this system, which is the following:
The trivial solution of Equation 17 is [Mathematical Expression Omitted], corresponding to the constant solution of the momentum equation.
In the following, we will prove that the trivial solution of the system (2.
it's time to make a stand, This pestering plague has plighted places only He can reach, Now He thinks there is no good defence he cannot breach, through the promotion of trivial solutions.