Sentence examples for bound of the solution from inspiring English sources

Furthermore, we find that the upper bound and lower bound of the solution for the stochastic system are smaller than those for the deterministic system.

First, a priori bound of the solution set is derived.

So, from engineering viewpoint, it remains to provide the asymptotic upper bound of the solution to the preceding recurrence equation.

In this section, we present an application of our result to obtain bound of the solution of a integral equation: (3.1).

In Section 3 the uniform bound of the solution and stability of the equilibrium points to the weakly coupled system (1.3) are proved.

In this section, we discuss the existence of solution of system (1), and an a priori bound of the solution is also established.

Finally, to show the performance of the greedy clustering method, associated results are compared with the lower bound of the solutions.

The uniform bound of the solutions in the weighted Sobolev space is derived later in Sections 3 and 4.

In the first example, we will try to prove the global existence of the solutions of a delay differential equation, while in the second example, we will obtain the bound of the solutions of an integral equation.

We also assess the quality of our solutions by computing a lower bound of the optimal solution, and by representing a large set of locally optimum solutions.

Then, the prior bound of the discrete solution in L2-norm and L∞-norm are also obtained.