Sentence examples for unique existence of an from inspiring English sources

This paper presents a sufficient condition for unique existence of an internal solution, its comparative statics, and a real application focusing on a current Japanese aquaculture system.

In view of the unique existence of an nth order eigenvalue of (7 - 8) due to the theorem above, we may denote by (mu _{mathrm {r}}^n(theta,R)) the nth order eigenvalue of (7) and (8).

Unique existence of a T-periodic solution ((hat{x}_{n})_{nin {mathbb {Z}}}) to (1) follows from Theorem 6(a).

The unique existence of a solution of the incompressible Euler equations in a critical Besov space B 1, 1 d + 1 ( R d ) for d ≥ 2 is investigated.

For any closed subspace X ∞ of X, the Lax Milgram lemma implies the unique existence of a solution U ∞ ∈ X ∞ to (3.11) b (U ∞, V ∞ ) = f (V ∞ ) for all  U ∞ ∈ X ∞ which satisfies the Céa lemma  (3.9).

The unique existence of having a state-financed and sanctioned public treatment agency at a low threshold the FPS, with a mandate to give priority to specialized treatment for families with children and violence, creates an urge to explore the general ongoing practices after the initiating project.

Considering the unique existence of having a state-financed and sanctioned public treatment agency at a low threshold, the FPS, with a mandate to prioritize specialized treatment to families with children and violence, this study conducted in one of the larger FPS in Norway, shows first and above all that if such services get priority, these cases are flooding in.

Thus, the study shows that the unique existence of having a state-financed and sanctioned public and specialized treatment agency at a low threshold the FPS, with a mandate to prioritize treatment for families with children and violence, has laid the ground for a practice according to intended goals.

By using the fixed point theorem of a mixed monotone operator, a unique existence result of positive solution to the problem (1.3) was established.

Then the existence of a lower solution for (3.1) provides the existence of an unique solution of (3.1).

Cytogenetic data demonstrated the existence of an unique chromosomal polymorphic subspecies characterized by two karyotypes, 2N = 56 and 2N = 54, and their hybrids 2N = 55 [ 8].