Sentence examples for inequalities in the study from inspiring English sources

The role played by coercive inequalities in the study of local boundary-value problems for elliptic differential equations is well known [17].

Examples are also given to illustrate the usefulness of these inequalities in the study of qualitative as well as the quantitative properties of solutions of BVPs.

One of the best known and widely used inequalities in the study of nonlinear differential equations is Gronwall inequality [1], which states that if and are nonnegative continuous functions on the interval satisfying (1.1).

One of the best known and widely used inequalities in the study of nonlinear differential equations is Gronwall-Bellman inequality [1, 2], which can be stated as follows: If u and f are nonnegative continuous functions on an interval [ a, b ] satisfying u ( t ) ≤ c + ∫ a t f ( s ) u ( s ) d s, t ∈ [ a, b ], for some constant c ≥ 0, then u ( t ) ≤ c exp ( ∫ a t f ( s ) d s ), t ∈ [ a, b ]. (1.1).

This points to the existence of health inequality in the study area and signifies the need to identify factors determining the distributions of poor health outcomes in this rural population.

While the inequalities described in the study are distressing, they say, those differences, like the well-documented racial gap on test scores, do not necessarily add up to institutional racism.

However, this impact of competing risk is likely to be present throughout the follow-up period and therefore, unlikely to affect the overall pattern in inequalities observed in the study, which is the focus of this paper.

This type of variational inequality arise in the study of elasticity with nonlocal friction laws, fluid flow through porus media and structural analysis.

The aim was to study the relative inequalities in risk of poverty between people (men and women combined) in the three health/employment categories, and to identify possible changes in inequalities over the study period.

The computation of solutions of nonlinear operator equations (inequalities) is important in the study of many real-world problems.

The role played by stability inequalities (well posedness) in the study of boundary-value problems for parabolic partial differential equations is well known (see, e.g., [21 26]).