PRÜFER ANALYSIS OF PERIODIC SINGULAR STURM–LIOUVILLE PROBLEM WITH PIECEWISE CHARACTERISTIC

Mehmet Akif Çetin, Abdullah Kablan () and Manaf Dzh Manafov ()
Additional contact information
Mehmet Akif Çetin: ALTSO Vocational School, Alanya Alaaddin Keykubat University, Antalya, Turkey
Abdullah Kablan: Department of Mathematics, Faculty of Arts and Sciences, Gaziantep University, Gaziantep 27310, Turkey
Manaf Dzh Manafov: Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, Adıyaman 02040, Turkey

FRACTALS (fractals), 2022, vol. 30, issue 08, 1-6

Abstract: Prüfer transformation is more effective and flexible in studying the spectral analysis of boundary value problem than using the classical methods in operator theory. The goal of this paper is to study Prüfer approach to spectral analysis of periodic Sturm–Liouville problem with transmission condition. Since we are dealing with a singular problem, the characteristic function we obtained is a piecewise function. At the end of the study, the existence of eigenvalues of investigated problem by using Prüfer transformation is given.

Keywords: Sturm–Liouville Operator; Prüfer Transformation; Floquet Theory; Transmission Condition; Eigenvalues (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X22401892
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:30:y:2022:i:08:n:s0218348x22401892

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X22401892

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().