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Prãœfer Analysis Of Periodic Singular Sturm–Liouville Problem With Piecewise Characteristic

Author

Listed:
  • 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)

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.

Suggested Citation

  • Mehmet Akif ÇEtin & Abdullah Kablan & Manaf Dzh Manafov, 2022. "Prãœfer Analysis Of Periodic Singular Sturm–Liouville Problem With Piecewise Characteristic," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(08), pages 1-6, December.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:08:n:s0218348x22401892
    DOI: 10.1142/S0218348X22401892
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