Eigenfunction expansions of impulsive q-Sturm--Liouville problems
Eigenfunction expansions of impulsive $q$-Sturm--Liouville problems
Сибирские электронные математические известия, 22, 1, стр. 800-812 (2025)
Аннотация:
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.
Ключевые слова: Difference equations, impulsive conditions,
$q$-Sturm--Liouville problems, eigenfunction expansions.