Sentence examples for maximal solutions are from inspiring English sources

Also, necessary and sufficient conditions for the existence of asymptotically constant solutions and maximal solutions are given.

The properties of non-oscillatory solutions of (11) are investigated in [26] where the necessary and sufficient conditions for the existence of minimal and maximal solutions are given as well.

In Section 2, by using the monotone iterative technique and the method of upper and lower solutions, the minimal and maximal solutions of an equivalent problem of (1.1) are investigated and two explicit monotone iterative sequences, converging to the corresponding minimal and maximal solution, are given.

It is easily seen that the unique stabilizing and maximal solution is X = [ − 1 0 0 ( 5 − 1 ) / 2 ].

We have proved that the maximal solution is unique; see the Appendix.

Some properties concerning the maximal and minimal solutions are also given.

Also, the monotone iterative technique is developed and the existence results for maximal and minimal solutions are obtained.

By introducing a new type of growth conditions and using the monotone iterative technique, some new results about the existence of maximal and minimal solutions were established, and the estimation of the lower and upper bounds of the maximum and minimum solutions was also derived.

The detailed process of searching for the minimal and maximal feasible solutions is shown in Algorithm 1.

In [17], maximal weighted independent set solutions are used to develop an algorithm for link scheduling in multi-radio multi-channel multi-hop wireless networks.

By virtue of the continuity of solutions with respect to time, we can find a maximal time segment, where the solutions are equal, but for they are different.