# 具有优化调整状态的供应链系统算子的性质Properties of the System Operator for the Supply Chain System with State of Optimal Adjustment

Abstract: The paper presents a supply chain system with state of optimal adjustment. By choosing space and defining operator of this system, we transfer this model into an abstract Cauchy problem. Using C0 semigroup theory, we first prove the system operator is a densely defined resolvent positive op-erator. We obtain the adjoint operator of the system operator and its domain. Furthermore, we prove that 0 is the growth bound of the system operator. Finally, we show that 0 is also the upper spectral bound of the system operator using the concept of cofinal and relative theory.

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