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简析了在工程设计的动力系统过程中,对偏微分方程的非线性性质的形式判定。例举了工程系统偏微分方程普遍类型的记法,对偏微分方程项的组成形式进行了详细的分析。在此基础上,由方程线性、非线性定义论述偏微分方程的非线性性质和基于方程形式的判定,例举了判定理论及工程实例的偏微分方程,并对此判定的工程设计及其定性分析的意义进行论述。
In the process of engineering design dynamic system, the formal determination of the nonlinear nature of partial differential equations is analyzed. A general notation of partial differential equations in engineering systems is given, and the composition of partial differential equations is analyzed in detail. On this basis, the nonlinear properties of PDE and the judgment based on the equation form are discussed from the linear and non-linear definitions of the equation, and the PDEs of the judgment theory and the engineering example are given. The engineering design and qualitative analysis of the decision Analysis of the significance of the discussion.