二阶微分方程复函数显式解唯一性证明
Second-order differential equations complex function explicit solution uniqueness proof
用二阶微分方程的统解方法证明,固定框架的可变结构函数确定后,在初始值和结构函数参数值确定的条件下,二阶微分方程显式解的曲线,与统解曲线族中唯一的一条曲线对应。在二阶微分方程显式解中,即使开方运算存在正负多值现象,却不改微分方程显式解的唯一性,因为显式解复函数是偶函数。?
Second order differential equations using conventional solution method proved variable-fixed frame structure function is determined, in the initial value and the structure function parameter values to determine the conditions of the curve explicit solution of second order differential equations, and family reunification solution curve corresponds to only a curve. In the explicit solution of the second order differential equations, even more than the value of plus or minus square root phenomenon exists, but do not change the explicit solution of the differential equation only, because the explicit demultiplexing function is an even function.
李峰、于力、李春林
数学
线性和非线性二阶微分方程统解自然法则复动力系统?
Linear and nonlinearsecond-order differential equationsUnified solutionnatural lawcomplex dynamical systems??
李峰,于力,李春林.二阶微分方程复函数显式解唯一性证明[EB/OL].(2015-04-17)[2025-08-11].http://www.paper.edu.cn/releasepaper/content/201504-282.点此复制
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