Eigenfunction expansions of impulsive q-Sturm--Liouville problems
Eigenfunction expansions of impulsive $q$-Sturm--Liouville problems
Siberian Electronic Mathematical Reports, 22, 1, pp. 800-812 (2025)
Abstract:
In this work, an impulsive $q$-Sturm--Liouville problem is studied. The existence of a countably infinite set of eigenvalues and eigenfunctions is proved and a uniformly convergent expansion formula in the eigenfunctions is established.
Keywords: Difference equations, impulsive conditions, $q$-Sturm--Liouville problems, eigenfunction expansions.