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- W2950996404 abstract "We study kth order systems of two rational difference equations $$x_n=frac{alpha+sum^{k}_{i=1}beta_{i}x_{n-i} + sum^{k}_{i=1}gamma_{i}y_{n-i}}{A+sum^{k}_{j=1}B_{j}x_{n-j} + sum^{k}_{j=1}C_{j}y_{n-j}},quad ninmathbb{N},$$ $$y_n=frac{p+sum^{k}_{i=1}delta_{i}x_{n-i} + sum^{k}_{i=1}epsilon_{i}y_{n-i}}{q+sum^{k}_{j=1}D_{j}x_{n-j} + sum^{k}_{j=1}E_{j}y_{n-j}},quad ninmathbb{N}.$$ In particular we assume non-negative parameters and non-negative initial conditions. We develop several approaches which allow us to extend well known boundedness results on the kth order rational difference equation to the setting of systems in certain cases." @default.
- W2950996404 created "2019-06-27" @default.
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- W2950996404 date "2009-09-29" @default.
- W2950996404 modified "2023-09-27" @default.
- W2950996404 title "Some boundedness results for systems of two rational difference equations" @default.
- W2950996404 hasPublicationYear "2009" @default.
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