二階差分方程的單調(diào)迭代法

田淑環(huán) 王淑燕

摘 要：本文討論了二階差分方程解的存在性問題，通過耦合上下解構(gòu)造迭代序列，利用單調(diào)迭代法給出并證明了二階差分方程解的存在性定理.

關(guān)鍵詞：上下解 ;單調(diào)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