Sentence examples for solution will be given from inspiring English sources

An explicit solution will be given for w ⋆ in the next section.

In the following theorems, the convergence estimates between the regularization solution and the exact solution will be given based on an a priori choice of the regularization parameter.

If A ≺ C, B ≺ D, an interesting question is that whether the partitioned matrices A B or A B and C D or C D have the same orderings, and the solutions will be given in the following sections.

A new existence result and the global attractive property of the solutions will be given and proved in Section 3. Finally, in Section 4, we present two concrete examples, whose physical background is statistical physics and fractional quantum mechanics (see, e.g., [12, 13]).

then we will prove the main results, in order to address the convergence of sequence of the weak solution; a lemma of the compactness result will be given first.

The application of the monotone map theory requires precise information on the local stability of the equilibrium solutions and the period-two solutions which will be given in this paper.

Next, the correct solution of p will be given for different regions.

In this section, an existence result of antiperiodic solutions for (1.4) will be given.

In the next phase, once enteral feeds are fully established, oral solution Evotrox or placebo (carrier solution without active drug) will be given at 8 mcg/kg birthweight/day single daily dose until the baby reaches 32 weeks CGA.

Similar to the definition of the least energy solution of ( E λ ), we can define the least energy solution of (D) which will be given in Section 4.

In this article, a solution for the problem will be given while we prepare hollow pigments.