Resumen de The initial value problem for the Schrödinger equation involving the Henstock–Kurzweil integral

Salvador Sánchez Perales

• Let L be the one-dimensional Schrödinger operator defined by Ly=−y′′+qy. We investigate the existence of a solution to the initial value problem for the differential equation (L−λ)y=g, when q and g are Henstock–Kurzweil integrable functions on [a,b]. Results presented in this article are generalizations of classical results for the Lebesgue integral.