Certain properties of periodic differential inclusions (Q1902750)

In three theorems the author presents certain results on stability and boundedness of solutions of periodic differential inclusions \(\dot x\in F(t, x)\) \((t\geq 0, x\in \mathbb{R}^n)\), \(F(t, x)= F(t+ T, x)\) \((T> 0)\), under the assumption that \(0\in F(t, 0)\) and partly under the additional assumptions that \(F(t, x)\) is homogeneous with respect to \(x\), i.e. \(F(t, cx)= cF(t, x)\) for some \(c> 0\).