Sentence examples for solution can be extended from inspiring English sources

then the solution can be extended beyond.

But whether the local solution can be extended to a global solution is a challenging open problem in the mathematical fluid mechanics.

Therefore, the local solution can be extended uniquely to [0, 2T0] and the global solution is obtained by repeating this procedure.

Then due to the local existence theorem (Lemma 2.1), it can easily be shown that the strong solution can be extended beyond T ∗.

Then, this solution can be extended to the whole interval, for all, as a consequence of the a priori estimates that will be proved in the next step.

Since the condition (4.5) is independent of initial values, the solution can be extended to the interval, and so we have showed that there exists a such that.

To show that the local solution can being extended to all (t>0), the following estimate will be employed.

Consequently, the method of approximate particular solutions can be extended to anisotropic elliptic-type problems.

If the initial data and external forces are small, then the local solutions can be extended globally in time.

Theorem 3.1 gives us the existence of local solutions to (2.10) for initial data in E. It remains to prove that the local solutions can be extended to global solutions.

The presented solution procedure can be extended to more boundary value problems in engineering.