多项式形的静态非线性投入产出模型解的存在性研究

经济系统时常表现明显的非线性特征，研究非线性投入产出具有重要的现实意义。在假定直接消耗系数是关于部门总产品的多项式函数的条件下，利用不动点理论求得在一定条件下，静态非线性投入产出模型的解的范围。由于多项式函数具有分段区间单词性的特点，使得多项式型的非线性投入产出模型突破了以往的研究中要求直接消耗系数仅仅是关于部门总产品的单调递减或单调递增的函数的限制，使建立非线性投入产出模型的条件更为宽松，更能描述现实的经济系统。

Study of Existence of Solution to Static Non-linear Input-output Model with Polynomial Function

It becomes an important operation significance to study the non-linear input-output model,because the economic system obviously shows the non-linear character.Under the assumption that the direct consumption coefficients are polynomial function about the sector's total output,we get the range of solution of the static nonlinear input-output model under the certain conditions using the fixed point theory.Because the polynomial function has the merit that its monotonicity lies in different range,it makes the non-linear input-output model with polynomial function break through the restriction of the direct consumption coefficients which decrease or increase monotonically,so the model is more practical and realizable.