高阶有理差分方程单半环解的存在性

摘要

作者研究了一类一般性的高阶有理差分方程的单半环解的存在性问题.应用线性化方程理论、方程平衡点的性质和非线性差分方程的包含定理, 作者证明了该方程单半环解的存在性.该结果推广了一些已知的结果.%A general higher order rational difference equation is studied.By using the theory of linearized equation,the properties of the positive equilibrium and an inclusion theorem,an existence theorem of solutions with a single semicycle is proved.