ON THE GLOBALLY ASYMPTOTICALLY STABLE OF THE SYSTEMS OF TWO DIFFERENCE EQUATIONS

Main Article Content

Vu Van Khuong

Abstract

ON THE GLOBALLY ASYMPTOTICALLY STABLE OF THE SYSTEMS OF TWO DIFFERENCE EQUATIONS

Downloads

Download data is not yet available.

Article Details

How to Cite
Khuong, V. V. (2013). ON THE GLOBALLY ASYMPTOTICALLY STABLE OF THE SYSTEMS OF TWO DIFFERENCE EQUATIONS. Journal of Global Research in Mathematical Archives(JGRMA), 1(4), 57–65. Retrieved from https://jgrma.com/index.php/jgrma/article/view/56
Section
Research Paper

References

Dzevad Burgic and Zehra Nurkanovic, An example of a globally asymptotically stable anti-monotonic system of rational didifference equations in the plane, Sarajevo J. Math. 5 (2009), 235-245.

E. Camouzis, M.R.S. Kulenovic, G. Ladas and O.Merino: Rational Systems in the Plane - Open problems and conjectures, Journal of Dierence Equations and Applications 15 (2009), 303-323.

D. Clark, M.R.S. Kulenovic and J. F. Selgrade, Global Asymptotic Be-haviour of a Two Dimensional Dierence Equation Modeling Competition, Nonlinear Analysis TMA, 52 (2003), 1765-1776.

J. M. Cushing, S. Levarge, N. Chitnis, S. M. Henson, Some discrete competition models and the competitive exclusion principle, Journal of difference Equations and Applications 10 (2004), 1139-1151.

M. Hirsch, H. Smith, Monotone dynamical systems. In: A. Canada, P. Drabek, A. Fonda (Eds.), Handbook of Dierential Equations, Ordinary differential Equations, Volume II, 239-357, Elsevier. Amsterdam, 2005.

S. Kalabusic and M.R.S. Kulenovic, Dynamics of Certain Anti-competitive Systems of Rational Dierence Equations in the Plane, J.Didifference Equations Appl., 17 (2011), 1599-1615.

M.R.S. Kulenovic and G. Ladas, Dynamics of Second Order Rational Dierence Equations, with Open Problems and Conjectures, Chapman and Hall/CRC Press, 2001.

M.R.S. Kulenovic and O. Merino, Discrete Dynamical Systems and Difference Equations with Mathematica, Chapman and Hall/CRC Press,2002.

M.R.S. Kulenovic and O. Merino, A Global Attractivity Result for Maps with Invariant Boxes, Discrete Cont. Dynamical Syst. Ser. B 6 (2006),97-110.

M.R.S. Kulenovic and O. Merino, Competitive-Exclusion versus Competitive-Coexistence for Systems in the Plane, Discrete Cont. Dy-namical Syst. Ser. B 6 (2006), 1141-1156.

M.R.S. Kulenovic and O. Merino, Global Bifurcation for Competitive Systems in the Plane, Discrete Contin. Dyn. Syst. B 12 (2009), 133-149.

M.R.S. Kulenovic and M. Nurkanovic, Asymptotic Behavior of Two Dimensional Linear Fractional System of Dierence Equations, Radovi Matematicki, 11 (2002), 59-78.

M.R.S. Kulenovic and M. Nurkanovic, Asymptotic Behavior of a System of Linear Fractional Dierence Equations, J. Ineq. Appl. (2005), 127-144.64

M.R.S. Kulenovic and Z. Nurkanovic, Rate of Convergence of Solutions of a three-dimensional linear fractional system of dierence equations,Zbornik radova PMF Tuzla-Svezak Matematika 2 (2005), 1-6.

M.R.S. Kulenovic and Z. Nurkanovic, Asymptotic behavior of a compet-itive system of linear fractional dierence equations, Advances in Dier-ence Equations 3 (2006), 1-13.

M. Pitak, More on Poincare and Person's theorems for di-ffence equations, J. Di. Equa. Appl. 8 (2002), 201-216.

C. Robinson, Stability, Symbolic Dynamics and Chaos, CRC Press, Boca Raton, 1995.

H.L. Smith, Planar competitive and cooperative dierence equations, J. Difference Equa. Appl. 3 (1998), 335-357.

Dz. Burgic and Z. Nurkanovic, An example of globally asymptotic-cally stable anti-monotone system of rational dierence equations in the plane?, Sarajevo J. Math. 5 (2009), 235-245.

Vu Van Khuong and Le Hong Lan, Dynamics of certain anti-competitive systems of rational dierence equations in the plane, IJMSEA 6 (2012),417-427.