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

Document Type: Research articles

Authors

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

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

Abstract

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.

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