Sentence examples for bound on the solution from inspiring English sources

In this section, we indicate an application of Theorem 2.1 (part (ii)) to obtain the explicit bound on the solution of the following boundary value problem for one dimensional partial differential equations: (3.1).

Inequality (4.7) gives the bound on the solution x ( t ) of IVP (4.1 - 4.2 4.1 - 4.2

The following theorem gives the bound on the solution of Eq. (4.1).

The inequality (3.5) gives the bound on the solution of (3.1).

The bound on the solution is proportional to the sampling interval and the magnitude of the switching gain.

In this section, using Theorem 2.3, we obtain the bound on the solution of a nonlinear differential equation.

The following theorem gives a bound on the solutions of equation (55).

TreeFitter, according to its documentation, employs two methods: one provides a lower bound on the optimal solution but may introduce invalid solutions due to inconsistent host-switching events [ 3] while the other method is not described in detail but reportedly finds upper bounds on the cost.

Thus, this algorithm gives an upper bound on the optimal solution to the problem in 10 [20].

It sacrifices admissibility but provides a nontrivial bound on the converged solution cost.

For 43≤t<2, we prove that a lower bound on the optimal solution is max{4t+43t+4,2tt+1} and design an algorithm with a competitive ratio equal to this lower bound.