常微分方程组积分因子存在的充要条件
상미분방정조적분인자존재적충요조건
The Sufficient and Necessary Condition for the Existence of Integrating Factors of Ordinary Differential Equations Systems
  • 万方数据
    大学数学 대학수학
    COLLEGE MATHEMATICS
    2012年 5期 110-113 ,共4页

    李方方%胡彦霞

    리방방%호언하

    常微分方程组%积分因子%充要条件 常微分方程組%積分因子%充要條件
    상미분방정조%적분인자%충요조건
    ordinary differential equations system%integrating factor%necessary and sufficient condition
    给出并证明了自治和非自治常微分方程组积分因子存在的充要条件，从而给出当常微分方程组的向量场散度不为零时的构造积分因子的方法。
    급출병증명료자치화비자치상미분방정조적분인자존재적충요조건，종이급출당상미분방정조적향량장산도불위령시적구조적분인자적방법。
    The sufficient and necessary condition for the existence of integrating factors of ordinary differential equations system is shown. Thereby, a method for constructing integrating factors of ordinary differential equations system which the divergence of the vector field is not nought is presented.
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