一类差分方程的奇点集和解的全局性

2013-05-25全卫贞

温州大学学报（自然科学版） 2013年3期

关键词：方程解奇点湛江

全卫贞

(湛江师范学院基础教育学院，广东湛江 524037)

一类差分方程的奇点集和解的全局性

全卫贞

(湛江师范学院基础教育学院，广东湛江 524037)

差分方程；奇点集；平衡解；二周期解；全局性

[1]中，Ladas研究了Riccati差分方程

在参考文献[3]中，骆元媛研究了三阶差分方程

1 预备知识

2 主要结果

参考文献

[1] Ladas G, Kulenovic M R S. Dynamics of the second rational difference equations with open problems and conjectures [M]. New York: Chapman and Hall / CRC, 2002: 17-24.

[2] Sedaghat H. On third-order rational difference equations with quadratic terms [J]. Journal of Difference Equations and Applications, 2008, 8: 889-897.

[3] 骆元媛. 一类有理差分方程解的全局行为[D]. 四川: 四川大学数学学院, 2012: 8-34.

[4] 完巧玲. 差分方程解的全局稳定性[J]. 陇东学院学报, 2012, 20(2): 6-8.

[5] Dehghan M. Global behaviour of the Riccati difference equation of order two [J]. Journal of Difference Equations and Applications, 2011, 4: 467-477.

[6] Elsayed E M. Qualitative behaviour of difference equation of order two [J]. Mathematical and Computer Modelling, 2009, 50: 1130-1141.

[7] Kelley W G, Peterson A C. Difference Equations with Applications [M]. New York: Academic Press, 1991: 1-98.

[8] Kocic V L, Ladas G. Global behavior of nonlinear difference equations of higher order with applications [M]. Dordrecht: Kluwer Academic Publishers, 1993: 1-121.

[9] Cinar C. On the positive solutions of the difference equation [J]. Applied Mathematics and Computation, 2004, 156: 587-590.

[10] Camouzis E, Ladas G. When does local asymptoic stability imply global attractivity in rational equations [J]. Journal of Difference Equations and Applications, 2006, 12: 863-885.

[11] Sun T X, Xi H J. The periodic character of the difference equation[J]. Advances in Difference Equations, 2008, DOI: 10.1155/2008/143723.

[12] Yu J S, Wang Z C. Asymptotic behavior and oscillation delay difference equations [J]. Funkcial Eekvac, 1994, 37: 241-249.

The Forbidden Set and the Global Behavior of Solutions of a Difference Equation

QUAN Weizhen
(College of Basic Education, Zhanjiang Norman University, Zhanjiang, China 524037)