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This note shows that every positive solution to the following third order non–autonomous max-type difference equationwhen is a three-periodic sequence of positive numbers, is periodic with period three. The same result was proved for the following min-type difference equation 相似文献
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Xi Chen 《Journal of Mathematical Analysis and Applications》2010,362(2):355-635
In this paper, a class of multiple fractional type weights is defined as
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The periodic initial value problem of a fifth-order shallow water equation t u 2 x t u + 3 x u 5 x u + 3u x u 2 x u 2 x u u 3 x u = 0 is shown to be globally well-posed in Sobolev spaces˙ H s (T) for s > 2/3 by I-method. For this equation lacks scaling invariance, we first reconsider the local result and pay special attention to the relationship between the lifespan of the local solution and the initial data, and then prove the almost conservation law, and finally obtain the global well-posedness by an iteration process. 相似文献
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Tingfan Xie 《Journal of Mathematical Analysis and Applications》2006,315(1):359-366
Let . Newman inequality is
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R. Balasubramanian D.J. Prabhakaran 《Journal of Mathematical Analysis and Applications》2004,293(1):355-373
For β<1, let denote the class of all normalized analytic functions f such that
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