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This note shows that every positive solution to the following third order non–autonomous max-type difference equation
when 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
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In this paper, a class of multiple fractional type weights is defined as
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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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