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    PRuFER ANALYSIS OF PERIODIC SINGULAR STURM-LIOUVILLE PROBLEM WITH PIECEWISE CHARACTERISTIC
    (World Scientific Publ Co Pte Ltd, 2022) Cetin, Mehmet Akif; Kablan, Abdullah; Manafov, Manaf Dzh
    Prufer 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 Prufer 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 Prufer transformation is given.