| Автор | Berenhaut, Kenneth S. |
| Автор | Guy, Richard T. |
| Дата выпуска | 2010 |
| dc.description | In this paper, we study periodicity and boundedness for the integer solutions to a minimum-delay difference equations. As an application, a recent theorem regarding absolute-difference equations is extended. |
| Формат | application.pdf |
| Издатель | Taylor & Francis Group |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Тема | minimum-delay difference equations |
| Тема | piecewise difference equations |
| Тема | periodicity |
| Тема | recursive equation |
| Тема | composition-delay equations |
| Тема | growth rates |
| Тема | 39A10 |
| Тема | 39A11 |
| Название | Periodicity and boundedness for the integer solutions to a minimum-delay difference equation |
| Тип | research-article |
| DOI | 10.1080/10236190802566533 |
| Electronic ISSN | 1563-5120 |
| Print ISSN | 1023-6198 |
| Журнал | Journal of Difference Equations and Applications |
| Том | 16 |
| Первая страница | 895 |
| Последняя страница | 916 |
| Аффилиация | Berenhaut, Kenneth S.; Department of Mathematics, Wake Forest University |
| Аффилиация | Guy, Richard T.; Department of Mathematics, Wake Forest University |
| Выпуск | 8 |
| Библиографическая ссылка | Amleh, A.M., Hoag, J. and Ladas, G. 1998. A difference equation with eventually periodic solutions. Advances in difference equations, II. Comput. Math. Appl., 36(10–12): 401–404. |
| Библиографическая ссылка | Amleh, A.M., Grove, E.A., Kent, C.M. and Ladas, G. 1998. On some difference equations with eventually periodic solutions. J. Math. Anal. Appl., 223: 196–215. |
| Библиографическая ссылка | Berenhaut, K.S., Foley, J.D. and Stevic, S. 2007. The global attractivity of the rational difference equation . Proc. Amer. Math. Soc., 135(4): 1133–1140. |
| Библиографическая ссылка | Bidwell, J. and Franke, J.E. 2008. Bounded implies eventually periodic for the positive case of reciprocal-max difference equation with periodic parameters. J. Difference Equ. Appl., 14(3): 321–326. |
| Библиографическая ссылка | Charalambides, Ch.A. 2002. Enumerative Combinatorics, Boca Raton, FL: Chapman & Hall/CRC Press. |
| Библиографическая ссылка | Clark, D. and Lewis, J. 1995. A Collatz-type difference equation. Congressus Numericatium, 3: 129–135. |
| Библиографическая ссылка | Everest, G., van der Poorten, A., Shparlinski, I. and Ward, T. 2003. Recurrence Sequences, Amer. Math. Soc. Surveys and Monographs vol. 104, Providence, RI |
| Библиографическая ссылка | Feuer, J. 2004. Two classes of piecewise-linear difference equations with eventual periodicity six. J. Math. Anal. Appl., 295(2): 570–575. |
| Библиографическая ссылка | Feuer, J. 2006. On the eventual periodicity of with a period-four parameter. J. Difference Equ. Appl., 12(5): 467–486. |
| Библиографическая ссылка | Feuer, J. 2007. Two classes of piecewise-linear difference equations with eventual periodicity three. J. Math. Anal. Appl., 332(1): 564–569. |
| Библиографическая ссылка | Feuer, J. and Ladas, G. 2004. Open problems and conjectures. J. Difference Equ. Appl., 10: 447–451. |
| Библиографическая ссылка | Grove, E.A. and Ladas, G. 2004. Periodicities in Nonlinear Difference equations, Boca Raton, FL: Chapman & Hall/CRC Press. |
| Библиографическая ссылка | Joshi, K.D. 1989. Foundations of Discrete Mathematics, New York, NY: John Wiley & Sons, Inc.. |
| Библиографическая ссылка | Kent, C.M. and Sedaghat, H. 2004. Convergence, periodicity and bifurcations for the 2-parameter absolute difference equation. J. Difference Equ. Appl., 10: 817–841. |
| Библиографическая ссылка | Kent, C.M. and Sedaghat, H. 2005. Difference equations with absolute values. J. Difference Equ. Appl., 11(7): 677–686. |
| Библиографическая ссылка | Lagarias, J.C. 1985. The 3x+1 problem and its generalizations. Amer. Math. Monthly, 92: 3–21. |
| Библиографическая ссылка | Liu, Y. and Li, Z. 2005. Periodic character of a difference equation with maximum. Ann. Differential equations, 21(3): 362–365. |
| Библиографическая ссылка | Mishev, D.P., Patula, W.T. and Voulov, H.D. 2002. A reciprocal difference equation with maximum. Comput. Math. Appl., 43(8–9): 1021–1026. |
| Библиографическая ссылка | Patula, W.T. and Voulov, H.D. 2003. On the oscillation and periodic character of a third order rational difference equation. Proc. Amer. Math. Soc., 131(3): 905–909. |
| Библиографическая ссылка | Rosen, K.H., Michaels, J.G., Gross, J.L., Grossman, J.W. and Shier, D.R. 2000. Handbook of Discrete and Combinatorial Mathematics, New York, NY: CRC. |
| Библиографическая ссылка | Sedaghat, H. 2004. Periodicity and convergence for . J. Math. Anal. Appl., 291: 31–39. |
| Библиографическая ссылка | Sun, T. and Xi, H. 2008. The periodic character of the difference equation . Adv. Difference Equ., 2008: 1–6. Article ID 143723 |
| Библиографическая ссылка | Voulov, H.D. 2003. Periodic solutions to a difference equation with maximum. Proc. Amer. Math. Soc., 131(7): 2155–2160. |
| Библиографическая ссылка | Voulov, H.D. 2004. On the periodic nature of the solutions of the reciprocal difference equation with maximum. J. Math. Anal. Appl., 296(1): 32–43. |
| Библиографическая ссылка | Wirsching, G.J. 2000. Über das Problem. Elem. Math., 55(4): 142–155. |
