河南师范大学学报（自然科学版）
河南師範大學學報（自然科學版）
하남사범대학학보（자연과학판）
JOURNAL OF HENAN NORMAL UNIVERSITY(NATURAL SCIENCE)
2009年
6期
1-3
,共3页
非线性%差分方程%精确解%独立通解
非線性%差分方程%精確解%獨立通解
비선성%차분방정%정학해%독립통해
non-linear%difference equation%exact solution%undependent general solution
将非线性微分方程的独立通解法推广到差分方程,给出了一类非线性差分方程的精确解,该精确解是由若干个独立通解共同构成,且独立通解的个数与差分方程的次数n无关.
將非線性微分方程的獨立通解法推廣到差分方程,給齣瞭一類非線性差分方程的精確解,該精確解是由若榦箇獨立通解共同構成,且獨立通解的箇數與差分方程的次數n無關.
장비선성미분방정적독립통해법추엄도차분방정,급출료일류비선성차분방정적정학해,해정학해시유약간개독립통해공동구성,차독립통해적개수여차분방정적차수n무관.
The paper shows the exact solution of a kind of non-linear difference equation by extending the undependent general solution method from non-linear differential equation into difference equation.The exact solution is formed by some undependent general solutions whose number is independent of the degree n of the difference equation.
