Existence of solutions with a single semicycle for a general second-order rational difference equation |
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| Authors: | Xianyi Li |
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| Affiliation: | School of Mathematics and Physics, Nanhua University, Hengyang, Hunan 421001, PR China |
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| Abstract: | By making use of inclusion theorem, we show in this paper the existence of solutions with a single semicycle for a general second-order rational difference equation. As a corollary, our results positively confirm Conjectures 4.8.3 and 5.4.6 in [M.R.S. Kulenovic, G. Ladas, Dynamics of Second-Order Rational Difference Equations, with Open Problems and Conjectures, Chapman and Hall/CRC, 2002]. |
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| Keywords: | Rational difference equation Approximate equation Inclusion theorem |
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