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.

目錄

第一章 簡介...........................................1
第二章................................................6
第三章...............................................12

參考文獻.............................................20

[1]Chow,Y.S. and Robbins,H.(1966). A class of optimal stopping problems. Proc. Fifth Berkeley Symp.on Math. Stat. and Prob. Vol1.427-440
[2] Chow,Y.S. and Robbins,H., and Siegmund,D.(1971). The theory of optimal stopping. Houghton Mifflin,Boston.
[3]Earl D. Rainville,Special Functions,Macmillan Company,New York,1971.
[4]Kung-Yu Chen(2008即將發表).A Class of Difference Equations with Last Conditions.
[5]On a difference equation with last conditions. Differential equations and control theory (Wuhan, 1994), 11--14, 
Lecture Notes in Pure and Appl. Math., 176, Dekker, New York, 1996.