摘要
给出矩阵多元多项式的带余除法 ,从而用微分代数的观点 ,得到把一类微分方程 (组 )化为无穷维Hamilton系统的充要条件及其具体无穷维Hamilton系统形式· 再把此方法和吴方法相结合获得构造一类微分方程 (组 )的通解的新方法· 几个例子表明这些方法都很有效的·
Pseudo_division algorithm for matrix multivariable polynomial are given, thereby with the view of differential algebra, the sufficient and necessary conditions for transforming a class of partial differential equations into infinite dimensional Hamiltonian system and its concrete form are obtained. Then by combining this method with Wu's method, a new method of constructing general solution of a class of mechanical equations is got, which several examples show very effective.
出处
《应用数学和力学》
EI
CSCD
北大核心
2000年第7期661-668,共8页
Applied Mathematics and Mechanics
基金
国家自然科学基金!资助项目 (1970 2 0 0 7)
内蒙古自然科学基金!资助项目 (97130 1_1)
关键词
矩阵多元多项式
带余除法
微分方程
哈米顿系统
matrix multivarible polynomial
infinite dimensional Hamiltonian system
Wu's method
general solution
