Well-posedness of second order degenerate differential equations with infinite delay in Hölder continuous function spaces (Q1980423)

The aim of this paper is to prove the well-posedness for some second order degenerate differential equations with infinite delay in Banach spaces. The authors prove the existence of solutions in Hölder continuous spaces. For that goal they use the Carleman transform and Fourier multiplier. Some applications are proposed for some degenerate partial differential equations with infinite delay.