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Global Asymptotic Stability and Oscillation of a Third Order Nonlinear Recursive Difference Equation
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- Author:
- No author available
- Journal Title:
- JOURNAL OF BIOMATHEMATICS
- Issue:
- 3
- DOI:
- No doi available
- Key Word:
- 差分方程;正解;全局渐近稳定;半环;Difference equation;Positive solution;Global asymptotic stabil-ity;Semicycle
Abstract： In this paper,we iavestigate the oscillatory behavior and the globala asymptotic stability of solutions of the equantion xn+1=xnxn-2+a/xn+xn-2+b,n=0,1,…where a>0,b>0.We show that trivial solutions have regular oscillatory behavior and the positive equilibrium of the equation is global asymptotic stability.
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