GLOBAL STABILITY FOR A CLASS OF DIFFERENCE EQUATION 被引量：6

GLOBAL STABILITY FOR A CLASS OF DIFFERENCE EQUATION

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摘要 In this paper the global stability of difference equation x n+1 =a+bx nA+x n-1 is studied and a sufficient condition is obtained,which improves some previous results. In this paper the global stability of difference equation x n+1 =a+bx nA+x n-1 is studied and a sufficient condition is obtained,which improves some previous results.

作者 Ou Chunhua 1,2 \ Tang Hengsheng\+2\ Luo Wei 21 Institute ofMathem actica,Fudan Univ.,Shanghai200433.2Basic Sciences Departm ent,Centre-South Institute ofTechnology,Hengyang 421001.

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2000年第1期33-36,共4页 高校应用数学学报（英文版）（B辑）

关键词 Difference equation globalstability. Difference equation,globalstability.

分类号 O241.84 [理学—计算数学]

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参考文献3

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同被引文献6

1YU Jianshe GUO Zhiming.Boundary value problems of discrete generalized Emden-Fowler equation[J].Science China Mathematics,2006,49(10):1303-1314. 被引量：14
2郭志明,庾建设.Existence of periodic and subharmonic solutions for second-order superlinear difference equations[J].Science China Mathematics,2003,46(4):506-515. 被引量：55
3LiXianyi,ZhuDeming.GLOBAL ASYMPTOTIC STABILITY FOR A NONLINEAR DELAY DIFFERENCE EQUATION[J].Applied Mathematics(A Journal of Chinese Universities),2002,17(2):183-188. 被引量：7
4李先义,朱德明.Global Attractivity in a Delay Difference Equation[J].Journal of Mathematical Research and Exposition,2003,23(2):270-274. 被引量：1
5李先义,朱德明.QUALITATIVE ANALYSIS OF BOBWHITE QUAIL POPULATION MODEL[J].Acta Mathematica Scientia,2003,23(1):46-52. 被引量：1
6李万同.非线性时滞差分方程的持续生存和渐近性质[J].应用数学和力学,2003,24(11):1126-1132. 被引量：3

引证文献6

1李万同,张艳红,苏有慧.GLOBAL ATTRACTIVITY IN A CLASS OF HIGHER-ORDER NONLINEAR DIFFERENCE EQUATION[J].Acta Mathematica Scientia,2005,25(1):59-66. 被引量：2
2何万生,胡林霞,李万同.高阶非线性差分方程的全局吸引性(英文)[J].纯粹数学与应用数学,2004,20(3):213-218. 被引量：2
3何万生,李万同.二阶非线性差分方程的全局吸引性(英文)[J].大学数学,2005,21(2):47-51. 被引量：1
4He Wansheng,Liu Dejin.GLOBAL BEHAVIOR IN A RATIONAL RECURSIVE SEQUENCE[J].Annals of Differential Equations,2005,21(3):300-304.
5张云秋,侯成敏.高阶非线性差分方程的吸引性[J].海南师范大学学报（自然科学版）,2008,21(1):5-9. 被引量：1
6LI Xian-yi,LI Wei.Global asymptotical stability in a rational difference equation[J].Applied Mathematics(A Journal of Chinese Universities),2021,36(1):51-59.

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1苏有慧,宴兴学.一类非线性时滞差分方程的全局行为[J].兰州理工大学学报,2006,32(1):152-154. 被引量：4
2霍海峰,苗黎明,张良.一类高阶有理差分方程的全局渐近稳定性[J].兰州理工大学学报,2008,34(1):125-127. 被引量：4
3葛琦,张景琳.一类高阶非线性差分方程的吸引性[J].延边大学学报（自然科学版）,2010,36(3):213-220.
4费祥历,陈云,颜丽敏.有理型差分方程x_(n+1)=(βx_n+δx_(n-2))/(A+Bx_n+Cx_(n-1))解的性质[J].科学技术与工程,2010,10(34):8497-8500.
5赵斌,王经民,陈益智.两类高阶非线性递归序列的稳定性[J].理论数学,2011,1(1):8-11.

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GLOBAL STABILITY FOR A CLASS OF DIFFERENCE EQUATION 被引量：6

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