Second-Order Multiparameter Problems Containing Complex Potentials

Abstract

In this work, we provide some lower bounds for the number of squarly integrable solutions of some second-order multiparameter differential equations. To obtain the results, we use both Sims and Sleeman's ideas and the results are some generalization of the known results. To be more precise, we firstly construct the Weyl-Sims theory for the singular second-order differential equation with several spectral parameters. Then, we obtain some results for the several singular second-order differential equations with several spectral parameters.