Engineering Management Model Analysis Using Partial Differential Equation Hilbert Space

Abstract

In the process of the rapid development of science and technology, people study many problems with the help of the independent variables, but the according descriptions have not been accurate enough. Therefore, many problems must be described by a function of more than one variable to more accurately get the results that people need to use the functions containing more than one variable and their partial derivatives to study the real problems of the method. Partial differential equations are closely and directly related to many problems in physics, mechanics, and engineering. It becomes an important bridge between mathematical theory and practical problems in physics, mechanics, and engineering. And the elements in Hilbert space, vectors, can represent vectors, functions, and phase quantities, while the special solutions of partial differential equations in solving physical problems can satisfy the common properties of Hilbert space. The analogy of functions and phase quantities to vectors can establish the function space and phase quantity space with geometric intuition. Based on Hilbert space theory, the key and difficult problems in engineering management can be explained by clear mathematical models by using the analogy method. The purpose of this study is to enrich the means of the building engineering management model, to broaden the horizon of managers, and to solve the problems in engineering management from a new dimension.