Abstract
In this paper, a financing decision-making method is proposed based on the nonlinear differential equations (NDEs) to promote the healthy development of high-technological (high-tech) small and medium enterprises (SMEs). An assessment index system for financing risks is established, and the financing decision-making method is proposed based on the backward stochastic differential equation (BSDE). Then, the financing risk is evaluated with analytic hierarchy process (AHP) combined with fuzzy evaluation based on the financing status of Peilin Company. Finally, the corresponding financing decision is proposed based on the BSDE. It is found that the comprehensive score of financing risk of Peilin Company is 63.6124, indicating that the risk is high. The financing decision obtained shows that the current equity fund financing should be 396.24 million to achieve the future goal. It is proved that the proposed financing risk evaluation method can assess the financing risks accurately, and the financing decision-making method based on NDE can obtain more appropriate financing decisions through calculation. This study can provide a crucial reference for management and control of financing risk for enterprises.