Boundary Value Problems of p-Laplace Equations with Finite Time Delay

带有有限时滞的p-Laplace方程的边值问题(英文)

By establishing equivalent fixed point theorem, the boundary value problems of p Laplace equations with finite time delay are studied. It’s the first time that the functional differential equation is discussed with p Laplacian. The topological degree and fixed point theorem on cone are used to prove the existence of solution and positive solution. The conditions are all easy to check.

通过建立等价映射的不动点存在性定理 ,首次研究了带有时滞的 p Laplace方程的边值问题 .利用拓扑度方法和锥上的不动点引理 ,第一次得出了带有 p