Sentence examples for section we established the from inspiring English sources

In the previous section we established the revealed preference conditions for exact linear aggregation.

In the previous section, we established the existence of a solution to the system (1.1), where all (H_{i}) satisfy monotonicity type conditions with respect to each variable (x_{j}).

In this section, we establish the convergence of our algorithm.

In this section, we establish the main results.

In this section we establish the relation between the regular functionals associated with the sequences and.

In this section, we establish the existence of the nonnegative solution to equations (1.1) and (1.2).

In this section, we establish the existence of positive solutions results for the system (1).

In this section, we establish the continuous dependence on the coefficient.

In this section we establish the existence and uniqueness of solutions to the system (1.1)–(1.13).

In this section, we establish the gradient Hölder norm estimates on solutions to the problem (1.1 - 1.4).

In this section, we establish the existence of global weak solutions for the problem (1.8).