Solutions of the Schrödinger equation in a Hilbert space
Laboratory of boundary value problems of the theory of differential equations, Institute of Mathematics of NAS of Ukraine, Tereshenkivska, 3, Kiev, 01601, Ukraine
Boundary Value Problems 2014, 2014:4 doi:10.1186/1687-2770-2014-4
Dedicated to the academician Kiguradze I.T.Published: 6 January 2014
Necessary and sufficient conditions for the existence of a solution of a boundary-value problem for the Schrödinger equation are obtained in the linear and nonlinear cases. Analytic solutions are represented using the generalized Green operator.