Sentence examples for it has a unique solution from inspiring English sources

I prove that it has a unique solution to be attained at a vertex of the constraint polyhedral.

Wherefrom, it has a unique solution for.

Thus it has a unique solution [27].

for each given (A>0) and (B geqslant 0), if the equation (A,sigma,X =B) has a solution X, then it has a unique solution.

Furthermore, when the boundary value problem (1 - 2) is consistent, it has a unique solution if and only if: 1. p ≤ r 1 + r 2 ; (14)   2.

According to the monotonicity condition in [19, 28], it is easy to check that DFBSDDE (19) satisfies the condition and it has a unique solution.

Then when it is consistent, it has a unique solutions if and only if r a n k [ A Q p + B Q p J k N - k 0 ] = p (23).

It is proved that DDM I has a unique solution (V^{n+1}).

It follows that (4.2) has a unique solution.

Then from the Banach contraction mapping principle it follows that problem (1.3) has a unique solution.

By employing Theorem 1.4, it is proved that (1.4) has a unique solution in (L^{p}(0,T; W^{1,p}(Omega))), which implies that (1.2) has a unique solution in (L^{p}(0,T; W^{1,p}(Omega))), where (2 leq p <+infty).