Periodic solutions of second-order differential inclusions systems with \(p\)-Laplacian
The author establishes existence results for the boundary value problem \[ \frac{d}{dt}(| \dot{u}(t)| ^{p-2}\dot{u}(t))\in \partial F(t,u(t)), \quad t \in [0,T), \] \[ u(0)=u(T),\quad \dot{u}(0)=\dot{u}(0)=\dot{u}(T) \] under some restriction on the nonlinearity \(F\), where \(p>1\), \(T>0\), \(F:[0,T)\times \mathbb R^n \rightarrow \mathbb R\) and \(\partial\) denotes the Clarke subdifferential.
scientific article; zbMATH DE number 5078911