Sentence examples for the maximum boundaries from inspiring English sources

This allows us to consider Lemma 2.13 as the maximum boundaries principle for (2.1).

Let us formulate our results about positivity of the Cauchy function and the maximum boundaries principle in the case when the condition is not assumed.

Conditions of each of the assertions 1 4 of Theorem 4.2 lead us to the maximum boundaries principle and consequently to the inequality which contradicts to the existence of the nontrivial solution of the homogeneous problem.

In this paper we develop the maximum boundaries principle for neutral functional differential equation (1.1) and on this basis we obtain results on existence and uniqueness of solutions of various boundary value problems.

According to Lemma 2.13 (see also Remark 2.14), the maximum boundaries principle is true, moreover, solutions of the homogeneous equation does not decrease on Conditions of each of the assertions 1 4 lead us to the inequality which contradicts to the existence of the nontrivial solution of the homogeneous problem.

Main results of our paper are based on the maximum boundaries principle, that is, on the fact that the maximal and minimal values of the solution can be achieved only at the points or The boundaries maximum principle in the case of the zero operator was considered in the recent papers [2, 3].

In addition, the maximum boundary loads (of pressures) at which the pipe cracks is also found.

The maximum boundary errors for both the initial BLOSUM62 and final best alignment are shown in Figure 4.

The minimum boundary was set as the mean of all subject training TSS minus 2 SD, and the maximum boundary was set as the mean of all subject training TSS plus 2 SD plus a constant of 25% beta value.

First, the average female DNAm needed to be within a range defined by the escape training set, with the minimum boundary set at a constant 0% and the maximum boundary set as the mean of all escape training TSSs plus 2 SD.

In the same way, judging from node9node11, node8node12 will also be a tree, so for the user user2 to find the relative maximum boundary tree is the tree by node9node10, node9node11, node9node8, node8node12 graph.