我們主要是研究下列型態的差分方程式，其中c_{n}正項序列且f 是連續函數。對某些特殊的f利用後推歸納法設法找出有正解的充要條件，及其解的一些相關性質。a_{n}=a_{n+1}+c_{n}f(a_{n+1}) For positive sequence c_{n} and continuous function f on[0,infinite) ,we consider the following difference equation. a_{n}=a_{n+1}+c_{n}f(a_{n+1}) We will apply the method of backward induction to establish the existence and the uniqueness under certain conditions.
