Sentence examples for a unique solution that from inspiring English sources

Then, the initial value problem (4.1) has a unique solution that exists on the whole half-line [ θ, ∞ ).

Then, (a for all, for and sufficiently large, the problem (7.1) has a unique solution that belongs to the space and the following coercive estimate holds: (7.5).

Then, (a) the problem (4.1) for and with sufficiently large has a unique solution that belongs to and the following coercive uniform estimate holds: (4.8)  . the problem (4.1) for and with sufficiently large has a unique solution that belongs to and the following coercive uniform estimate holds: (4.8).

Furthermore, although several methods have been developed for exploring the NLFFF, there are no guarantees that there is a unique solution that fits the photospheric magnetic field applied to a given boundary condition.

The underlying initial value problem (1) for the glucose metabolism is well-posed in the sense of Hadamard, i.e. there exists a unique solution that depends continuously on the initial conditions.

Then there is b ∈ ( 0, b 0 ] such that the problem (26) has a unique solution that belongs to the space W p 2 ( 0, b ; E ( A ), E ).

This may cause an optimal and unique solution that can hardly be derived or cannot be reached at all by the proposed iterative algorithm in (112).

has a unique solution u that can be expressed in the form u ( t ) = ∫ 0 1 H ( t, s ) y ( s ) d s, t ∈ [ 0, 1 ], (2.2).

Well, our elected officials had a unique solution to that.

According to the Picard Lindelöf theorem [15 17], (1) has a unique solution, provided that (beta< infty), and that the assumptions presented in the next section hold.

Employing Theorem 2.1, we can know that there exists a unique such that, where is a solution of (3.2) and this means that (3.1) has a unique solution such that (3.38).