Sentence examples for boundaries principles from inspiring English sources

This study's findings highlight CE as an evolving concept that still requires development to consolidate its definition, boundaries, principles and associated practices.

Although in many cases, speaking about maximum principles, authors mean quite different definitions of maximum principles (such as e.g., corresponding inequalities, boundedness of solutions and maximum boundaries principles), there exists a deep internal connection between these definitions.

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.

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.

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].

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.

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.

The first of these principles is the boundary principle; this principle establishes that the distinction between environments in pervasive frameworks must be made by boundaries that mark differences in contents and these boundaries need not necessarily limit the interoperability of the systems.

People still mainly talk to their neighbours, people still mainly talk to the people who have the same religion, and the same culture, so for all its breaking down geographical boundaries in principle it hasn't really broken down cultural boundaries.

Then to investigate the flexible mode effect on the stability boundary, the principle of Null-controllability regioNCRNCR) is employed, under control input saturation and bandwidth constraints.