Sturm-Liouville problem with a distributed condition

Анотація

A special problem for the standard liner differential equation of 2-nd order on [0; 1] is investigated when one of boundary conditions must be orthogonal to a given measure on [0; 1]. The measure and the potential are complex-valued. The main theorem yields some conditions for the alternative: the codimension or the linear span of the root functions in C[0; 1] is either 1 or 1. The transformation operators are applied to reduce the problem to the theory of entire functions.