若干实际背景下的非常规差分方程模型及其解法  

In the Context of a Number of Practical Non-Differential Equation Model and Its Solution

作　　者：彭玉忠[1] 

机构地区：[1]运河高等师范学校,江苏邳州221300

出　　处：《廊坊师范学院学报（自然科学版）》2009年第5期7-9,13,共4页Journal of Langfang Normal University(Natural Science Edition)

摘　　要：差分方程的本质是反映变量间的递推关系,而算法、排列组合、遗传规律等与递推有密切关系的实际问题,要构建相应的差分方程模型予以表达。这些差分方程有的为非常规(无公式解法),运用换元法、母函数法、矩阵变换法等特殊方法求解可得到理想效果,从而得到一些有参考价值的结果。The differential equation is a reflection of the nature of the recursive relationship between variables. In this paper, algorithms, permutation and combination, such as inheritance and recurrence is closely related to practical problems, build a model corresponding to the expression of difference equations. Some of these differential equations as non- conventional（non-formula method）, use of for-element method, generating function method, the matrix transformation method, such as special effects have been ideal; the way of thinking so that discrete mathematics, linear algebra, mathematical analysis of different mathematical knowledge together with a certain reference value.

关 键 词：差分方程 非常规 换元法 母函数法 矩阵变换法 

分 类 号：F224.9[经济管理—国民经济]