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微分方程组有多个显式解的证明

ifferential equations have proved more than explicit Solutions

中文摘要英文摘要

首先,用二阶和三阶微分方程统解公式证明,由一阶微分方程所组成的二元和三元微分方程组具有多个显式解。然后,用二阶微分方程统解公式证明,必须同时满足线性的、齐次的、纯实函数解的三个条件的微分方程,数值解法才是正确的。结论:一阶微分方程组缺少必要的二阶与三阶导函数的约束条件;数值解法不能作为各种近似解法是否正确的判断标准。用这样的基础科学理论,进行应用科学研究,令人质疑。?

First, second and third order system differential equation solution formula proved binary first order differential equations and the group consisting of ternary differential equations having a plurality of explicit solution. Then, with a second-order differential equation system solution proven formula must also satisfy the differential equation linear, homogeneous, pure solutions of real functions of the three conditions, numerical solution is correct. Conclusion: The lack of necessary first order differential equations of second order and third-order constraints guiding function; numerical solution can not be used as an approximate solution is correct various criteria. With such basic scientific theory, carry out applied scientific research, it is questionable. ?????

于力、李春林、李峰

数学

线性和非线性二阶微分方程统解近似解数值解复动力系统?

Linear and nonlinearsecond order differential equation system solutionapproximate solutionnumerical solutioncomplex dynamic systems??

于力,李春林,李峰.微分方程组有多个显式解的证明[EB/OL].(2015-06-09)[2025-08-11].http://www.paper.edu.cn/releasepaper/content/201506-116.点此复制

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