... set n r.Iftn, then, taking into account the way how f was defined, the relation3.16 obviously holds. If t ≥ n 1 then there is k ∈ Z, k ≥ 1 such that tn k. Then, wededuce thatΦσθ, ... Analysis: Theory, Methods & Applications, vol. 74,no. 2, pp. 600–615, 2011.Advances in Difference Equations 3priori the existence of the projection families, without supposing the invariance with ... and on the uniform boundedness of the norm of solutionrelative to the norm of the input function. Using detailed and constructive methods we willprove that this assures the existence of the uniform...