Sentence examples for problem of uniqueness from inspiring English sources

The problem of uniqueness of such measures is also partially solved.

(15) The problem of uniqueness of the null solution of (15) was studied by Gripenberg in [37].

Next, we deal with the problem of uniqueness versus non-uniqueness for (1.1 - 1.3 1.1 - 1.3ase on vanishing inithel data (u0i(x) = 0, i = 1, 2,..., k).

Hence by the Hopf bifurcation theorem [12], the system enters into a Hopf-type small amplitude periodic solution at the parametric value α = α ∗ near the positive interior equilibrium point P 2. Now we consider the problem of uniqueness of the limit cycle arising from Hopf bifurcation at the parametric value α = α ∗.

In relation to the problem of uniqueness, by continuity and taking into account that ε max  = ε y when ( A_{c}^{prime} = 0 ) (cf. Gil-Martín et al. 2009), the actual value of ε max is that of the solution closest to the yield strain ε y, that is, the greatest one of the two positive real solutions of Eq. (2).

It can be seen that, for high values of ( A_{c}^{prime} ) (like ( A_{c}^{prime} = 0.7A_{c} ) and ( A_{c}^{prime} = 0.9A_{c} )), the curve G [f ct, ε max ] = 0 presents a knee that breaks the bijection between f ct and ε max (problem of uniqueness), or even, no solutions exists for ε max (problem of existence), as it occurs by taking ( A_{c}^{prime} = A_{c} ) in this specimen.

Some problems of uniqueness of the associated partial differential equations were investigated.

Enforcing uncorrelatedness rather than independence poses problems of uniqueness, but has often proved to give very useful results [9, 11].

We provide additional results on the problems of uniqueness, efficiency of the equilibrium, and convergence of a best-response-based dynamics to the equilibrium.

We address the problem of the uniqueness of the solution of problem (13), which relies on the formal Euler-Lagrange equation of (13): Proof of Theorem 2. Let us denote (A.15).

The problem of population uniqueness estimation then becomes a problem of parameter estimation.