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在化工系统DCS先进控制领域和基于机理模型的化工类商品化软件中,大型装置的过程数学模型通常处于核心地位,同时这些场合也对模型的稳定性和动态特性有较高要求。而适定性分析有利于从物理意义和数学的角度分析模型的合理性,并指导正确的数值求解方法,从而产生高质量数学模型。本文结合醇酮氧化过程模拟的实践应用了Lipschitz条件、解的存在唯一性定理、解的延拓、解对初值的连续性和可微性定理和相关常微方程稳定性理论等数学工具,发现了文献中动力学方程组存在的问题,并对其进行了改进与提高；在实际应用中也取得了更好的效果；同时,对于其它类似的数学建模与求解问题也具有理论和实践的参考意义。
In the field of advanced control of chemical system DCS and chemical commercialization based on mechanism model, process mathematical models of large-scale plants are usually at the core, and these occasions also have high requirements on the stability and dynamic characteristics of the model. The fitness analysis is helpful to analyze the rationality of the model from the point of view of physics and mathematics, and to guide the correct numerical solution method to produce high-quality mathematical model. In this paper, the Lipschitz condition, the existence and uniqueness theorem of solution, the continuation of solution, the solution to the continuity of initial value and the differentiability theorem and the stability theory of related Ordinary and Micro-Equations are applied in the practice of alcohol-ketone oxidation process simulation. The problems existing in the dynamic equations of the literature are found, and the improvement and improvement are found in the literature. Some good results have also been obtained in practical applications. Meanwhile, there are also theories and practices for other similar mathematical modeling and solving problems The reference meaning.