Isolating segments and anti-periodic solutions
Using the technique based on the notion of periodic isolating segments, the author establishes a sufficient condition for the existence of \(2^n\) geometrically distinct solutions of the two-point boundary value problem \[ \dot{x}=f(t,x), \qquad x(0)=g(x(nT)), \] where \(f\) is a smooth vector field on the manifold \(M\) and \(n\) is a positive integer.
scientific article; zbMATH DE number 1761125