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1. Pseudo-division algorithm for matrix multivariable polynomial and its application.

Author

Alatancang, Zhang Hongqing, and Zhong Wanxie

Subjects
*POLYNOMIALS, *PSEUDODIFFERENTIAL operators, *PARTIAL differential equations, *HAMILTONIAN systems, *DIFFERENTIAL algebra
Abstract

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 Hamiltonianian 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. [ABSTRACT FROM AUTHOR]

Published
2000
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