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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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Takao Akahori Peter M. Garfield 《Journal of Mathematical Analysis and Applications》2007,333(1):24-41
We cannot see from
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In this paper, we consider the following integral system: u(x) = R n v q (y) | x y | nα dy, v(x) = R n u p (y) | x y | nμ dy, (0.1) where 0 < α, μ < n; p, q ≥ 1. Using the method of moving planes in an integral form which was recently introduced by Chen, Li, and Ou in [2, 4, 8], we show that all positive solutions of (0.1) are radially symmetric and decreasing with respect to some point under some general conditions of integrability. The results essentially improve and extend previously known results [4, 8]. 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