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

Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_CJMS-8-2_002

تاریخ نمایه سازی: 27 بهمن 1399

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.

Authors

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Department of Mathematics, Suleyman Demirel University, ۳۲۲۶۰ Isparta, Turkey

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Department of Mathematics, Mehmet Akif Ersoy University, ۱۵۰۳۰ Burdur, Turkey