The Parseval identity for q-Sturm–Liouville problems with transmission conditions

Author:

Palamut Koşar NidaORCID

Abstract

AbstractIn the present study, we investigate the existence of spectral functions and obtain the Parseval identity and expansion formula in eigenfunctions for the singular q-Sturm–Liouville problem with transmission conditions.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference20 articles.

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3. Allahverdiev, B.P., Tuna, H.: An expansion theorem for q-Sturm-Liouville operators on the whole line. Turk. J. Math. 42(3), 1060–1071 (2018)

4. Allahverdiev, B.P., Tuna, H.: Eigenfunction expansion in the singular case for q-Sturm-Liouville operators. Casp. J. Math. Sci. 8(2), 91–102 (2019)

5. Allahverdiev, B.P., Tuna, H.: Eigenfunction expansion for singular Sturm-Liouville problems with transmission conditions. Electron. J. Differ. Equ. 2019, 03 (2019)

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1. Impulsive regular q-Dirac systems;Electronic Journal of Differential Equations;2023-10-27

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