... between α and β and, moreover, we can say that for r ∈ 0, 1it suffices to take n ∈ N such that n 1−1/k<rto have |ft, x|≤2/3n 2 for all t, xbetween the graphs of α and β and r ≤ ... ,x0,n ,and −→f f1,f2, ,fn : I × Rn→Rn.Our goal is to extend Theorem 5.3 to this multidimensional setting, which, as usual,requires the right hand side−→f to be quasimonotone, ... between given lower and upper solutions and assuming theexistence of a L1-bound for f on the sector delimited by the graphs of the lower and uppersolutions regular problems, and we give some...