-counting descent pairs with prescribed tops and bottoms.

Hall, John; Liese, Jeffrey; Remmel, Jeffrey B.

Displaying similar documents to “ $q$ -counting descent pairs with prescribed tops and bottoms.”

Equidistribution of descents, adjacent pairs, and place-value pairs on permutations.

Deutsch, Emeric, Kitaev, Sergey, Remmel, Jeffrey (2009)

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Liao, Ying-Jie, Shieh, Min-Zheng, Tsai, Shi-Chun (2007)

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On the system of rational difference equations $x_{n + 1} = f (x_{n}, y_{n - k})$ , $y_{n + 1} = f (y_{n}, x_{n - k})$ .

Sun, Taixiang, Xi, Hongjian, Hong, Liang (2006)

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Some boundedness results for systems of two rational difference equations

Gabriel Lugo, Frank Palladino (2010)

Open Mathematics

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We study k th order systems of two rational difference equations $x_{n} = \frac{α + \sum_{i = 1}^{k} β_{i} x_{n - 1} + \sum_{i = 1}^{k} γ_{i} y_{n - 1}}{A + \sum_{j = 1}^{k} B_{j} x_{n - j} + \sum_{j = 1}^{k} C_{j} y_{n - j}}, y_{n} = \frac{p + \sum_{i = 1}^{k} δ_{i} x_{n - i} + \sum_{i = 1}^{k} ε_{i} y_{n - i}}{q + \sum_{j = 1}^{k} D_{j} x_{n - j} + \sum_{j = 1}^{k} E_{j} y_{n - j}} n \in ℕ$ . In particular, we assume non-negative parameters and non-negative initial conditions, such that the denominators are nonzero. We develop several approaches which allow us to extend well known boundedness results on the k th order rational difference equation to the setting of systems in certain cases.

On the system of rational difference equations $x_{n + 1} = f (y_{n - q}, x_{n - s})$ , $y_{n + 1} = g (x_{n - t}, y_{n - p})$ .

Sun, Taixiang, Xi, Hongjian (2006)

Advances in Difference Equations [electronic only]

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Existence criteria and classification schemes for positive solutions of second-order nonlinear difference systems.

Li, Wan-Tong, Huang, Can-Yun, Cheng, Sui Sun (2006)

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Gelişken, Ali, Çinar, Cengiz (2009)

Discrete Dynamics in Nature and Society

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Colpaert, J., Omey, E. (1997)

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Coupled coincidence point theorems for nonlinear contractions in partially ordered quasi-metric spaces with a $Q$ -function.

Hussain, N., Shah, M.H., Kutbi, M.A. (2011)

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A smoothing SAA method for a stochastic mathematical program with complementarity constraints

Jie Zhang, Li-wei Zhang, Yue Wu (2012)

Applications of Mathematics

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A smoothing sample average approximation (SAA) method based on the log-exponential function is proposed for solving a stochastic mathematical program with complementarity constraints (SMPCC) considered by Birbil et al. (S. I. Birbil, G. Gürkan, O. Listes: Solving stochastic mathematical programs with complementarity constraints using simulation, Math. Oper. Res. 31 (2006), 739–760). It is demonstrated that, under suitable conditions, the optimal solution of the smoothed SAA problem converges...

Oscillation of nonlinear first order neutral difference equations.

Gao, Ying, Zhang, Guang (2001)

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Displaying similar documents to “ q -counting descent pairs with prescribed tops and bottoms.”

Displaying similar documents to “ $q$ -counting descent pairs with prescribed tops and bottoms.”