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21/06/2014, 16:20
... w t for t ∈ 0, ρ1 and w > on ρ1 , for some ρ1 ∈ 0, Then w t Advances in Difference Equations 13 for t ∈ ρ1 , , and consequently w > on ρ1 , and Q1 : max{w t : ≤ t ≤ 1} Hence, compare 2.40 and ... 2.75 for ≤ x < y, and H x, x αx for x ≥ By Lemma 2.2, the equation H x, y has a unique solution y γ x for x ∈ 0, 1/α , γ ∈ C 0, 1/α , γ x > x for x ∈ 0, 1/α , and γ 1/α 1/α Let k x : x γ x for ... continuous on Δ for ≤ x < y { x, y ∈ R2 : ≤ x ≤ y}, and ∂H/∂y x, y > ii For each x ∈ 0, 1/α , there exists a unique γ x ∈ a, 1/α such that for x ∈ 0, H x, γ x , α and γ ∈ C 0, 1/α , γ x > x for x ∈ 0,...