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.