GLOBAL BEHAVIOR IN A RATIONAL RECURSIVE SEQUENCE

GLOBAL BEHAVIOR IN A RATIONAL RECURSIVE SEQUENCE

导出

摘要 In this paper, we study the global stability, and the periodic character of the rational recursive sequence. We show that the positive equilibrium of the sequence is a global attractor with a basin which depends on certain conditions posed on the coefficients. In this paper, we study the global stability, and the periodic character of the rational recursive sequence. We show that the positive equilibrium of the sequence is a global attractor with a basin which depends on certain conditions posed on the coefficients.

作者 He Wansheng Liu Dejin

机构地区 Deft. of Math. Dept. of Math.

出处《Annals of Differential Equations》 2005年第3期300-304,共5页 微分方程年刊（英文版）

关键词 rational recursive sequence global stability ATTRACTIVITY positive solution rational recursive sequence, global stability, attractivity, positive solution

分类号 O122.7 [理学—基础数学]

引文网络
相关文献

参考文献1

1Ou 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..GLOBAL STABILITY FOR A CLASS OF DIFFERENCE EQUATION[J].Applied Mathematics(A Journal of Chinese Universities),2000,15(1):33-36. 被引量：6

二级参考文献3

1Kocic, V.L.,Ladas, G.,Global Behavior of NonlinearDifference Equations of Higher Order with Applications, Kluwer AcademicPublishers,Dordrecht,1993.
2Ladas,G.,Open problem and conjectures,Proceedings of the Ist InternationalConference on Difference Equations and Applications,San Antonio Texas,May 25～28,1994,Gordonand Breach Publishers,Inc,1994.
3Ladas,G.,Open problems and conjectures,Journal of Difference Equations andApplications,1995(1):317～321。

共引文献5

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
4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
5LI 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.

1Zeng Xiaoyun Shi Bao Zhang Decun (Institute of Applied Math., Naval Aeronautical Engineering Institute, Yantai 264001).STABILITY OF SOLUTIONS FOR THE RECURSIVE SEQUENCE x_(n+1) =α-βx_n/γ+g(x_(n-1),…,x_(n-k))[J].Annals of Differential Equations,2006,22(3):430-435.
2Xiaoyun Zeng,Zhenggao Hu,Decun Zhang.ON THE STABILITY OF A RECURSIVE SEQUENCE[J].Annals of Differential Equations,2013,29(2):238-243.
3Ruan Jiancheng.Global Behavior of a Class of Three-Dimensional Competitive Systems[J].Acta Mathematica Sinica,English Series,1995,11(3):316-323.
4SHI Qi-hong,YANG Jian-wei,WANG Chang-you.Global Behavior of Nonnegative Solutions to a Higher Order Difference Equation[J].Chinese Quarterly Journal of Mathematics,2012,27(2):280-285. 被引量：1
5Xia An1,Tai-xiang Sun2,Yan-fang Zhang11. Department of Basic Courses,Institute of Disaster Prevention Science and Technology,Beijing 065201,2. Department of Mathematics,Guangxi University,Nanning 530004,China..On global behavior of the system of rational difference equations x_(n+1)=p+y_(n-k)/x_n,y_(n+1)=q+x_(n-k)/y_n[J].Journal of Pharmaceutical Analysis,2009,21(3):189-191. 被引量：1
6Zhang Decun Shi Bao Zeng Xiaoyun (Institute of Applied Math., Naval Aeronautical Engineering Institute, Yantai 264001).ON A POPULATION MODEL[J].Annals of Differential Equations,2006,22(3):446-449.
7Shumei Yu, Hongxi Wang (Dept. of Applied Math., Institute of Applied Math., Anhui Agricultural University, Hefei 230036).GLOBAL BEHAVIOR OF POSITIVE SOLUTIONS TO A KIND OF THREE-POINT BOUNDARY VALUE PROBLEMS[J].Annals of Differential Equations,2009,25(4):473-482. 被引量：1
8张建中,朱德通,侯少频.SOME IMPROVED PROJECTED QUASI-NEWTON ALGORITHMS AND THEIR CONVERGENCE Ⅰ.METHODS AND GLOBAL BEHAVIOR[J].Acta Mathematicae Applicatae Sinica,1989,5(1):33-45.
9王伟伟.ON GLOBAL BEHAVIOR OF WEAK SOLUTIONS OF COMPRESSIBLE FLOWS OF NEMATIC LIQUID CRYSTALS[J].Acta Mathematica Scientia,2015,35(3):650-672.
10郭仲衡.Rational Solutions to a Class of Nonholonomic Systems[J].Science China Mathematics,1994,37(4):432-449.

Annals of Differential Equations

2005年第3期

浏览历史

内容加载中请稍等...

GLOBAL BEHAVIOR IN A RATIONAL RECURSIVE SEQUENCE

参考文献1

二级参考文献3

共引文献5

相关作者

相关机构

相关主题

浏览历史