ZHANG Hong-qing, XIE Fu-ding, LU Bin. A Symbolic Computation Method to Decide the Completeness of the Solutions to the System of Linear Partial Differential Equations[J]. Applied Mathematics and Mechanics, 2002, 23(10): 1008-1012.
Citation: ZHANG Hong-qing, XIE Fu-ding, LU Bin. A Symbolic Computation Method to Decide the Completeness of the Solutions to the System of Linear Partial Differential Equations[J]. Applied Mathematics and Mechanics, 2002, 23(10): 1008-1012.

A Symbolic Computation Method to Decide the Completeness of the Solutions to the System of Linear Partial Differential Equations

  • Received Date: 2001-06-16
  • Rev Recd Date: 2002-04-09
  • Publish Date: 2002-10-15
  • A symbolic computation method to decide whether the solutions to the system of linear partial differential equation is complete via using differential algebra and characteristic set is presented. This is a mechanization method,and it can be carried out on the computer in the Maple environment.
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  • [1]
    张鸿庆. 弹性力学方程组一般解的统一理论[J]. 大连工学院学报,1978,18(3):23-47.
    [2]
    张鸿庆,王震宇. 胡海昌解的完备性和逼近性[J]. 科学通报,1985,30(5):342-344.
    [3]
    王敏中. 关于胡海昌解的完备性[J]. 应用数学和力学,1981,2(2):243-249.
    [4]
    Ritt J F. Differential Algebra[M]. New York:Dover Publication Inc,1950,57-140.
    [5]
    Kolchin E R. Differential Algebra and Algebraic Groups[M]. New York:Academic Press,1973,43-54.
    [6]
    WU Wen-tsun. On the foundation of algebraic differential geometry[R]. MM research preprints,1989,3:1-29.
    [7]
    Rosenfeld A. Specialization in differential algebra[J]. Trans Amer Math Soc,1959,90(2):394-407.
    [8]
    Boulier F,Lazard D,Ollivier F,et al. Representation for the radical of a finitely generated differential ideal[A]. In:Levelt A Ed. ISSAC'95[C]. Montrel,Canada:ACM Press,1995,158-166.
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