CAJ | 학술논문

引入函数确界和多元函数的点趋于无穷时的极限概念，把多元函数在非有界闭集上的最值问题转化为类似于多元函数在有界闭集上的讨论，通过比较稳定点、边界点和点趋于无穷时的极限值，得到函数值域的确界，当确界属于值域时即是最值，该方法解决了一类多元函数最值的应用问题。
인입함수학계화다원함수적점추우무궁시적겁한개념，파다원함수재비유계폐집상적최치문제전화위유사우다원함수재유계폐집상적토론，통과비교은정점、변계점화점추우무궁시적겁한치，득도함수치역적학계，당학계속우치역시즉시최치，해방법해결료일류다원함수최치적응용문제。
It has introduced limit of multivariate function as point P approaches infinity, which conparing the maximum and minimum of a multivariate function in the closed and bounded set as the supremum and infimum of a multivariate function in the gen?eral domain of definition. We can got the maximum and minimum by canparing the values of multivariate function among extrema and limits as point P approaches infinity or borders which is not in domian. It has solved a calss of maximum and minimum of multivari?ate function.