We use some approaches to prove the global existence-boundedness of classical solutions and overcome the substantial difficulty of the existence of a nonlinear prey-taxis term.
The difficulty with this suggestion, Averroes concluded, is twofold: first, it implies that there is no time outside the soul, and second, since there will be as many psychological motions as there are souls, we have returned to our initial difficulty of the existence of multiple times.
Although Vandamme [ 45] emphasised the difficulty of proving the existence of hard polytomies in real life, Poe and Chubb [ 48], Barth et al. [ 46], Willerslev et al. [ 49] and several others [ 47, 50] have observed some apparent examples in different taxa, including birds, mammals, plants and protozoa, and this pattern was also observed for human ERVs [ 19].
By means of the decomposition method we overcome the difficulties for the existence of absorbing sets and asymptotical compactness of the semigroup generated by a global solution to prove the attractors for the autonomous Brinkman-Forchheimer equation.
Such is the fragmented state of privatised UK railways that investigators have had difficulty proving the existence of such a figure.
The main difficulty is the existence of speckle, which degrades contrast and the apparent resolution of the system.
Another difficulty is the existence of knowledge gaps among the clinical features, cognitive observations and variables measured in laboratories.
While DFT calculations had difficulty explaining the existence of a preferred orientation due to complications related to applying periodic boundary conditions to an incommensurate structure, a remarkably simple model based on pairwise interactions results in predictions in good agreement with the experiment.
The difficulty of confirming the very existence of the dead man, Ahmad Tanveer, 43, a Pakistani New Yorker, shows how death can fall between the cracks in immigration detention, the rapidly growing patchwork of more than 500 county jails, profit-making prisons and federal detention centers where half a million noncitizens were held during the last year while the government tried to deport them.
I suspect that a political party that seeks to suppress voting under the guise of non-existent voter fraud has no difficulty in presuming the existence of a lie to cover a true purpose.
Under the superlinear conditions (1.5), there is no twist condition for, which brings difficulty to the study of the existence of periodic solutions of (1.4).
