宏观经济学中一类二阶差分方程的全局吸引性和振动性
On the global attractivity and oscillations in a class of second order difference equations from macroeconomics
摘要：
利用类Lyapunov方法得到了二阶差分方程\[ x_{n+1}=cx_{n}+f(x_{n}-x_{n-1}),\quad n=1, 2, ... \]的新的全局吸引性准则.其中一些结果是尖锐的，并支持最近的相关理论。通过与二阶正系数线性差分方程的比较，得到了该方程振动的一个充要条件.
英文摘要：
New global attractivity criteria are obtained for the second order difference equation \[ x_{n+1}=cx_{n}+f(x_{n}-x_{n-1}),\quad n=1, 2, ... \] via a Lyapunov-like method. Some of these results are sharp and support recent related conjectures. Also, a necessary and sufficient condition for the oscillation of this equation is obtained using comparison with a second order linear difference equation with positive coefficients.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
