Eigenfunction Expansion in the Singular Case for Dirac Systems on Time Scales

Authors : Bilender P. Allahverdiev, Hüseyin TUNA

Pages : 128-135

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Publication Date : 2019-04-15

Article Type : Research Paper

Abstract :In this work, we prove the existence of a spectral function for one dimensional singular Dirac operator on time scales. Further, we establish a Parseval equality and expansion formula in eigenfunctions by terms of the spectral function.
Keywords : Time scales, Dirac operator, singular point, parseval equality