Eigenfunction expansion in the singular case for q-Sturm-Liouville operators

Document Type: Research articles


1 Department of Mathematics, Suleyman Demirel University, 32260 Isparta, Turkey

2 Department of Mathematics, Mehmet Akif Ersoy University, 15030 Burdur, Turkey


In this work, we prove the existence of a spectral function for singular q-Sturm-Liouville operator. Further, we establish a Parseval equality and expansion formula in eigenfunctions by terms of the spectral function.


Article Title [Persian]


Abstract [Persian]