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

#### Bilender P. Allahverdiev [1] , Hüseyin Tuna [2]

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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.

Time scales, Dirac operator, singular point, parseval equality
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Primary Language en Engineering Articles Author: Bilender P. AllahverdievInstitution: SÜLEYMAN DEMİREL ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ, MATEMATİK BÖLÜMÜCountry: Turkey Author: Hüseyin Tuna (Primary Author)Institution: MEHMET AKİF ERSOY ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ, MATEMATİK BÖLÜMÜCountry: Turkey Publication Date: April 15, 2019
 Bibtex @research article { konuralpjournalmath450635, journal = {Konuralp Journal of Mathematics (KJM)}, issn = {}, eissn = {2147-625X}, address = {Mehmet Zeki SARIKAYA}, year = {2019}, volume = {7}, pages = {128 - 135}, doi = {}, title = {Eigenfunction Expansion in the Singular Case for Dirac Systems on Time Scales}, key = {cite}, author = {Allahverdiev, Bilender P. and Tuna, Hüseyin} } APA Allahverdiev, B , Tuna, H . (2019). Eigenfunction Expansion in the Singular Case for Dirac Systems on Time Scales. Konuralp Journal of Mathematics (KJM), 7 (1), 128-135. Retrieved from http://dergipark.org.tr/konuralpjournalmath/issue/31492/450635 MLA Allahverdiev, B , Tuna, H . "Eigenfunction Expansion in the Singular Case for Dirac Systems on Time Scales". Konuralp Journal of Mathematics (KJM) 7 (2019): 128-135 Chicago Allahverdiev, B , Tuna, H . "Eigenfunction Expansion in the Singular Case for Dirac Systems on Time Scales". Konuralp Journal of Mathematics (KJM) 7 (2019): 128-135 RIS TY - JOUR T1 - Eigenfunction Expansion in the Singular Case for Dirac Systems on Time Scales AU - Bilender P. Allahverdiev , Hüseyin Tuna Y1 - 2019 PY - 2019 N1 - DO - T2 - Konuralp Journal of Mathematics (KJM) JF - Journal JO - JOR SP - 128 EP - 135 VL - 7 IS - 1 SN - -2147-625X M3 - UR - Y2 - 2018 ER - EndNote %0 Konuralp Journal of Mathematics (KJM) Eigenfunction Expansion in the Singular Case for Dirac Systems on Time Scales %A Bilender P. Allahverdiev , Hüseyin Tuna %T Eigenfunction Expansion in the Singular Case for Dirac Systems on Time Scales %D 2019 %J Konuralp Journal of Mathematics (KJM) %P -2147-625X %V 7 %N 1 %R %U ISNAD Allahverdiev, Bilender P. , Tuna, Hüseyin . "Eigenfunction Expansion in the Singular Case for Dirac Systems on Time Scales". Konuralp Journal of Mathematics (KJM) 7 / 1 (April 2019): 128-135. AMA Allahverdiev B , Tuna H . Eigenfunction Expansion in the Singular Case for Dirac Systems on Time Scales. Konuralp J. Math.. 2019; 7(1): 128-135. Vancouver Allahverdiev B , Tuna H . Eigenfunction Expansion in the Singular Case for Dirac Systems on Time Scales. Konuralp Journal of Mathematics (KJM). 2019; 7(1): 135-128.