and Applied Analysis 3 Remark 1.3. It is easy to see that V ′ 1 , V ′ 2 are weaker than V1 , V2 . Therefore, Theorem 1.2 improves Theorem A. Indeed, taking V t, u −|u| − |u|, 1 < γ < ς ≤ 2, Gk u −|u|, 1.3 all conditions in Theorem 1.4 are satisfied, but conditions in Theorem A cannot be satisfied. Theorem 1.4. Assume that V1 , V2 hold. Moreover, the… (More)
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