特殊差分方程的求解  

Solution of Special Difference Equation

作　　者：孙建新[1] SUN Jianxin(Mathematics Department,Shaoxing University,Shaoxing,Zhejiang 312000)

机构地区：[1]绍兴文理学院数学系,浙江绍兴312000

出　　处：《绍兴文理学院学报》2020年第8期44-47,共4页Journal of Shaoxing University

摘　　要：贝努里差分方程、恰当差分方程与准恰当差分方程等三类特殊的差分方程都可以用变量代换或积的差分公式来求解,首次给出贝努里差分方程、恰当差分方程与准恰当差分方程的定义、求解方法以及解的一般形式.作为应用又给出了与三类特殊差分方程相关的具体实例,并给出了它们的解.It is proved that Bernoulli’s difference equation,proper difference equation and quasi-appropriate difference equation can be solved by the variable substitution or formula of difference of product.These methods to solve the three types of difference equations are proposed in theorem 2.2,2.4 and 2.6.Some examples of special difference equation are proposed.

关 键 词：贝努里差分方程 恰当差分方程 准恰当差分方程 恰当因子 

分 类 号：O15[理学—数学]