二阶差分方程的单调迭代法

田淑环 王淑燕

摘 要：本文討论了二阶差分方程解的存在性问题，通过耦合上下解构造迭代序列，利用单调迭代法给出并证明了二阶差分方程解的存在性定理.

关键词：上下解 ;单调迭代 ;迭代序列

ABSTRACT： In this paper， the existence problem of the solution of the second order difference equation is discussed. The existence theorem of the solution of the second order difference equation is given by monotone iteration method and proved by constructing the iterative sequence by coupling the upper and lower solutions .

Key words：Upper and lower solutions  Monotone iterative  Iterative sequence