一类泛函最优化问题解的存在性

The Existence of Solution for a Class Functional Optimization

研究了一类在机械设计、机械性能分析等方面应用极为广泛的非线性泛函的约束最优化问题.基于不同的约束条件和边界条件,建立了几个不同的模型.采用将无穷维空间上泛函最优化问题转化为有限维空间上最优化问题的方法,得到了最优解的存在性结果.

The paper studies the optimization problem of a certain class of nonlinear functionals. Based on different constrains and initial conditions, several models are considered. The existences of the optimal solutions to these models are obtained using the method of converting an optimization problem on the infinite dimensional space to one on a finite dimensional space.