With the help of Lemma 3.1, we slightly improve Lemma 3.1 of [8] by weakening hypotheses posed on the coefficients of equation (2.2) as follows.
Regular functions are assumed to describe the boundary values, but the proposed approach can be easily generalized in case of weakened hypotheses.
Regular functions are assumed to describe the boundary values, but the proposed approach can be easily generalized in the case of weakened hypotheses.
A huge amount of literature is witnessed on applications, generalizations and extensions of this principle carried out by several authors in different directions, e.g., by weakening the hypothesis, using different setups, considering different mappings etc.
Subsequently, his result was extended in 1969 by Boyd and Wong [3] by weakening the hypothesis on ϕ where it suffices to assume that ϕ is right upper semi-continuous (not necessarily monotonic).
Subsequently, this result was extended in 1969 by Boyd and Wong [2] by weakening the hypothesis on ϕ, in the sense that it is sufficient to assume that ϕ is right upper semi-continuous (not necessarily monotone).
It still remains a possibility that the attentional effect saturates at ∼14%, although previous experiments using visually expanding stimuli [11] result in duration distortions of 50%, thus weakening the hypothesis of a 14% upper limit.
On the other hand, considerable intra-individual variation of neutrophil count was observed, thereby weakening the hypothesis of a relationship between neutrophils and cTnT.
Taken together, these findings do not support an essential role of FKBP51 as a factor that controls the phosphorylation status of Akt inside the cell, thereby weakening the hypothesis that the protein may work out as tumor suppressor.
Our results uncovered higher diversity within the H2 family than previously described, weakening the hypothesis of a strong selective sweep on all inverted chromosomes and suggesting a rather complex evolutionary history at this locus.
However, other authors have reported HRSs in patients receiving a wide range of etoposide concentrations, weakening this hypothesis (Kasperek and Black, 1992; Bernstein and Troner, 1999; Athanassiou et al, 1988; De Souza et al, 1994; Tester et al, 1990; Hoetelman et al, 1996; Siderov and Zalcberg, 1994; Tucci and Pirtoli, 1985; Donegan, 1989; Eschalier et al, 1988; Schacter, 1996).
