Some results for a variation-inequality problem with fourth order p(x)-Kirchhoff operator arising from options on fresh agricultural products

In this paper, we study variation-inequality initial-boundary value problems with fouth order p(x)-Kirchhoff operators. First, an operator is constructed based on the Leray Schauder principle, and the existence of solutions is obtained. Secondly, the stability and uniqueness of the solution are analyzed after the conditions are appropriately relaxed on the Kirchhoff operators.

Automated summary

In this paper, we investigate variation-inequality initial-boundary value problems with fourth-order p(x)-Kirchhoff operators. Firstly, an operator is constructed using the Leray Schauder principle, and the existence of solutions is proven. Secondly, the stability and uniqueness of the solution are analyzed by appropriately relaxing the conditions on the Kirchhoff operators.