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Exact(29)
Then, there exists a solution to: (4.1).
There exists a solution to problem (19).
Hence there exists a solution to the problem where.
Then, there exists a solution to the problem: (4.7).
Then for such x ∗ there exists a solution to (1) with power asymptotic behavior (3).
Thus, there exists a solution to equation (1) with (x in K) and (rho < Vert x Vert < r).
Similar(31)
Suppose, for the sake of argument, that there does exist a solution to the Fermat equation.
It is worthwhile to note that for cylindrical Wiener processes and thus in particular space-time white noise there does not exist a solution to (4).
Further, for any symmetric equilibrium to exist, a solution to the first order condition must lie within p ⁎ ∈ [ 0, x ^ − s ) as Condition 1 implies p ⁎ < x ^ − s. Conditional on the existence of such a solution, the equilibrium price is unique.
Then for every (cinmathbb{R}) there exists a solution x to (1) such that (lim_{ntoinfty}x(n)=c).
(87) Furthermore, there exists a solution u to Problem P such that lim_{tto+infty}u x,t)=h(x), quadforall x>0.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com