CAJ | 학술논문

考虑变分问题的灵密度分析，利用扰动法推出边界值问题和流动方程，以此来获得偏导数（灵敏性）的目标函数的所有参数。主要考虑参数系变分问题的灵密度分析，当参数产生改变时，它相应的最优解是如何随之而改变的，为了问题简单，开始考虑有限维参数的变分问题，最后定理4给出灵密度分析的一个固定公式，这个结果利于直接通过原始的目标函数关于参数P分析灵密度。
고필변분문제적령밀도분석，이용우동법추출변계치문제화류동방정，이차래획득편도수（령민성）적목표함수적소유삼수。주요고필삼수계변분문제적령밀도분석，당삼수산생개변시，타상응적최우해시여하수지이개변적，위료문제간단，개시고필유한유삼수적변분문제，최후정리4급출령밀도분석적일개고정공식，저개결과리우직접통과원시적목표함수관우삼수P분석령밀도。
This paper deals with the problem of sensitivity analysis in calculus of variations. A perturbation technique is applied to derive the boundary value problem and the system of equations that allow us to obtain the partial derivatives (sensitivities) of the objective function value, we main consider a parametric family of variations problems and analyze how the corresponding optimal solutions change when parameters are modified. For the sake of simplicity, we start with considering the case of finite parameters. The practical consequences of theorem are the direct formulas for the sensitivities.