【作者】 贾利群； 郑世旺；

【Author】 Jia Li-qun~1 Zheng Shi-wang~2 1.Science College of Southern Yangtze University,Wuxi,Jiangsu,214063,China; 2.Physical and Information Engineering Dept.of Shangqiu Normal College,Shangqiu,Henan,476000,China

【机构】 江南大学理学院； 商丘师范学院物理与信息工程系；

【摘要】 研究一阶线性齐次微分约束可积性问题。利用一阶线性齐次微分约束可积的充分条件,给出一阶线性齐次微分约束可积的 Lagrange 形式的充分条件——命题1。指出, 命题1的逆命题一般并不成立——命题2。举例说明命题1和命题2的应用。更多还原

【Abstract】 The paper studies an integrable question of first order linear homogeneous differential constraint,through utilizing integrable sufficient condition of first order linear homogeneous differential constraint,gives an integrable sufficient conditions of Lagrange form of first order linear homogeneous differential constraint-proposition 1, and points out the inverse-proposition of proposition 1 in general not hold-proposition 2.Examples are given to explain their application of proposition 1 and proposition 2.更多还原