Cilt:71 Sayı:03 (2022)

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Browsing Cilt:71 Sayı:03 (2022) by Author "Durna, Zeynep"

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    Eigenvalue problems for a class of Sturm-Liouville operators on two different time scales
    (Ankara Üniversitesi, 2022) Durna, Zeynep; Other; Other
    In this study, we consider a boundary value problem generated by the Sturm-Liouville equation with a frozen argument and with non-separated boundary conditions on a time scale. Firstly, we present some solutions and the characteristic function of the problem on an arbitrary bounded time scale. Secondly, we prove some properties of eigenvalues and obtain a formulation for the eigenvalues-number on a finite time scale. Finally, we give an asymptotic formula for eigenvalues of the problem on another special time scale: T = [ α , δ 1 ] ⋃ [ δ 2 , β ] .