Sentence examples for greatest solutions of from inspiring English sources

New existence results are derived for the smallest and greatest solutions of considered problems.

The functions and are least and greatest solutions of (4.1) in.

Determine the smallest and greatest solutions of the following singular impulsive IVP.

When both the smallest and the greatest solutions of (1.1) in Y exist we call them the extremal solutions of (1.1) in Y.

Thus u* = y17 and u* = z16 are by Remark 2.1 the smallest and greatest solutions of (4.1) with c u) = 0.

This result and Lemma 3.1 imply that u* and u* belong to S, and they are the smallest and greatest solutions of the IVP (3.1) in [u-, u+].

Hence there exists the greatest solution of (5.18) between and.

Let denote the greatest solution of (5.7) between and.

But is the greatest solution of (5.8) in and therefore,.

We view the problem as computation of a "greatest solution" of a set of equations.

Notice that the zero solution is neither the least nor the greatest solution of (10) in.