We must especially point out Kiguradze's theorems related to the existence of proper oscillatory solutions of essentially nonlinear differential equations [51], [68].
In this appendix, we provide a proof that the transmission and reception polarization vectors cannot be effectively obtained through the solution of A. Essentially, the convex form is only a relaxation version of the initial problem.
Can we relax condition (C2) in Proposition 2.1 and still get existence of solutions by means of essentially the same proof?
The kinetics of the interfacial exchange processes appeared to be during the first instants, independent of the concentration of metal ions in solution, but essentially a function of the nature of the supporting electrolyte anion and even, in the case of the CIO−4 anion, of its concentration.
Then the solution of PFE is, however, essentially meaningless if the diagonal entries of the corresponding covariance matrix are close to zero.
The chemistry of ununpentium in aqueous solution should essentially be that of the Uup+ and Uup3+ ions.
The shape and approximate dimensions of each protein have been retrieved by a set of ten solution models, essentially superimposable with the available crystal structures.
They note that so little polymer is needed that other characteristics of the solution are essentially unchanged, meaning that other processes that it has to go through -- pumping, for example -- would not be affected.
Although Ludwig's meta-theoretical framework is slightly different, the first part of his solution is essentially equivalent to the above one.
It should also be noted that the dissimilarities in spectra due to the spectrophotometers were only manifested with large scatterers (such as RBCs) whereas the spectrum of small particles like those of hemoglobin in solution were essentially the same with all three instruments and that this behavior is consistent with the scattering theories [ 6, 7].
