... Difference EquationsVolume 2010, Article ID 746106, 20 pagesdoi:10.1155/2010/746106 Research Article Time-Scale-Dependent Criteria for the Existence of Positive Solutions to p-LaplacianMultipoint ... αuβu for u ∈P. Moreover, from Lemma 2.3, it follows thatuTT − tγu,4.6 for u ∈P. Next, we intend to verify that all the conditions in Theorem 4.1 hold with respect to the ... ut b for t ∈ t,TT. Analogously, it follows from 3.7that, for all u ∈P,uTT − tγuTT − tb.3.10Therefore, we obtain 0 ut T/T − tb for t ∈ 0,TT....