Sentence examples for solution belongs to from inspiring English sources

The mathematical formulation of the problem represents the convex combinations problem with the condition that the solution belongs to a finite set.

The NB solution belongs to the region (mathcal {R}^{NB}).

Moreover, the solution belongs to M 2 ( ( − ∞, T ] ; R d ).

Moreover, if, then the solution belongs to for all in.

This solution belongs to the class (III), defined in Theorem 1.

As to the problem at hand, the resulting solution belongs to the sequential minimum MSE estimation.

The ROM is obtained by seeking a solution belonging to the POD subspace and that at the same time minimizes the Navier Stokes residuals.

It is shown that for the case q < p∗ (p∗ = ∞ if p ≧ N, and p∗ = Np N − p if p < N), (E) has always a nonnegative nontrivial solution belonging to W01,p ∩ L∞, and for the case p < N and q > p∗ (resp. q = p∗), (E) has no nontrivial (resp. nonnegative nontrivial) solution belonging to the class P = {u ϵ W01,p ∩ Lq; xi¦u¦q − 2u ϵ Lp(p − 1), i = 1, 2, …, N} ⊂ W01,p, provided that Ω is star shaped.

Let equation (25) have a solution belonging to (L_{2}(G)).

Then BVP (1) has at least one solution belonging to X.

Then problem (27) has a solution belonging to the functional interval ([alpha, beta]).