文章基本信息

标题：Cm solutions of systems of finite difference equations
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作者：Xinhe Liu ; Xiuli Zhao ; Jianmin Ma 等
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2003
卷号：2003
期号：37
页码：2315-2326
DOI：10.1155/S0161171203202131
出版社：Hindawi Publishing Corporation
摘要：
Let ℝ be the real number axis. Suppose that G , H are C m maps from ℝ 2 n + 3 to ℝ . In this note, we discuss the system of finite difference equations G ( x , f ( x ) , f ( x + 1 ) , … , f ( x + n ) , g ( x ) , g ( x + 1 ) , … , g ( x + n ) ) + 0 and H ( x , g ( x ) , g ( x + 1 ) , … , g ( x + n ) , f ( x ) , f ( x + 1 ) , … , f ( x + n ) ) = 0 for all x ∈ ℝ , and give some relatively weak conditions for the above system of equations to have unique C m solutions ( m ≥ 0 ) .