Sentence examples for classical solutions of from inspiring English sources

Hence, u 0 and u ∗ are classical solutions of (NP).

If are classical solutions of (3.53 - 3.54) on, then on.

We first state the local existence of classical solutions of (1.1).

Nevertheless, this allows us to use the viscosity theory rather than classical solutions of PDEs.

Thus, we have obtained the complete classical solutions of the system.

Lemma 2.2 yields the uniqueness of classical solutions of problem (2.1 - 2.3 2.1 - 2.3

The next result establishes the positivity and the boundedness of classical solutions of (1).

Hence (u_{0}) and (u_{1}) are classical solutions of the impulsive problem (1).

end{aligned} (4 If we denote general classical solutions of Eqs.

Furthermore, the critical points of in are classical solutions of (1.1) with.

Therefore, throughout this paper we shall study positive concave classical solutions of problem (2.1).