A continuation theorem for the periodic BVP in flow-invariant ENRs with applications (Q923792)

The authors establish conditions under which the boundary value problem \(x'=F(t,x)\), \(x(0)=x(w)\), where F: [0,\(\omega\) ]\(\times C\to {\mathbb{R}}^ m\) is a continuous function and \(C\subset {\mathbb{R}}^ m\) is a closed Euclidean neighborhood retract (ENR), has a solution belonging to a certain subset of C.