Ngày tải lên :
22/06/2014, 22:20
... (η) (2. 21) here we have used the fact pη,τ (1) = q1,τ (η) By (2. 20) and (2. 21), we have Lτ (η) ≥ q1,τ (η) p0,τ (η) , q1,τ (0) + q1,τ (η) p0,τ (1) + p0,τ (η) Lτ x (2. 22) By (2. 17) and (2. 22) , ... Theorem 2. 1 cannot be obtained by Theorems 1.1–1.4 and the abstract results in [ 12] Remark 2. 4 The nonlinear term f was assumed to be nondecreasing in Theorems 1 .2 and 1.4, but in Theorem 2. 2 in ... any t1 ,t2 ∈ [0,η], |t1 − t2 | < δ, η −δ R0 δ1 ε G(τ) t1 ,s − G(τ) t2 ,s a(s)ds < , [0,η] [0,η] R0 p0,τ t2 − p0,τ t1 p0,τ (η) ε < (2. 25) By (2. 24)– (2. 25), we have for any x ∈ B and t1 ,t2 ∈ [0,η],...