【摘要】 应用稳定流形定理研究了二阶有理型非线性差分方程x_n+1=α+x_n-1/x_n,n=0,1,…二周期正解的局部稳定性,这里α=1且初始条件x-1和x0为任意正实数,证明了在一定条件下方程的最小二周期解是稳定的.更多还原

【Abstract】 Using the stable manifold theorem,we study the local stability of two period solutions of second order rational difference equation x_n+1= α+x_n-1/x_n,n =0,1,…,where α=1 and the initial condition x_-1 and x₀ are arbitrary positive real numbers. The result proves that the minimum two periodic solutions are stable under some conditions.更多还原