Combining the method of upper and lower solutions with the topological degree, we show the existence of solutions satisfying periodic or Dirichlet boundary conditions, for the differential inclusion

$$(\phi(x^{\prime}(t)))^{\prime} \in F(t,x(t)),$$

where F(⋅,⋅) is a compact lower semi-continuous multi-valued map and ϕ is an homeomorphism.

中文翻译：

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ϕ -Laplacian微分包含的边值问题

将上下解的方法与拓扑度相结合，证明了存在周期或Dirichlet边界条件的微分包含解的存在性

$$（\ phi（x ^ {\ prime}（t）））^ {\ prime} \ in F（t，x（t）），$$

其中F（⋅，⋅）是紧致的下半连续多值映射，ϕ是同胚。