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## SPECTRAL PROPERTIES OF SCHRODINGER OPERATOR WITH A GENERAL BOUNDARY CONDITIONS ON FINITE TIME SCALE

#### Esra Kır Arpat [1] , Hatice Terzi [2]

In this paper we consider the operator L generated in 𝐿∇2 [𝑎, 𝑏] by the boundary problem−[𝑦∆(𝑡)]∇ + [𝜆 + 𝑞(𝑡)]2𝑦(𝑡) = 0, 𝑡 ∈ [𝑎, 𝑏],𝑦(𝑎) − 𝑘𝑦∆(𝑎) = 0, 𝑦(𝑏) + 𝐾𝑦∆(𝑏) = 0 where 𝑞(𝑡) is partial continuous, 𝑞(𝑡) ≥ 0, 𝑘 ≥ 0,𝐾 ≥ 0. In this paper, spectral properties of Schrodinger problem on finite time scale is examined and the formula of convergent expansion is obtained which is form of series in terms of the eigenfunctions in 𝐿∇2 [𝑎, 𝑏] space.

Time scale, delta and nabla derivatives, Schrödinger operator, eigenvalue, eigenfunction.
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Primary Language en Engineering Mathematics Author: Esra Kır Arpat Author: Hatice Terzi Publication Date : June 21, 2016
 Bibtex @research article { gujs259004, journal = {Gazi University Journal of Science}, issn = {}, eissn = {2147-1762}, address = {}, publisher = {Gazi University}, year = {2016}, volume = {29}, pages = {467 - 472}, doi = {}, title = {SPECTRAL PROPERTIES OF SCHRODINGER OPERATOR WITH A GENERAL BOUNDARY CONDITIONS ON FINITE TIME SCALE}, key = {cite}, author = {Kır Arpat, Esra and Terzi, Hatice} } APA Kır Arpat, E , Terzi, H . (2016). SPECTRAL PROPERTIES OF SCHRODINGER OPERATOR WITH A GENERAL BOUNDARY CONDITIONS ON FINITE TIME SCALE . Gazi University Journal of Science , 29 (2) , 467-472 . Retrieved from https://dergipark.org.tr/en/pub/gujs/issue/24433/259004 MLA Kır Arpat, E , Terzi, H . "SPECTRAL PROPERTIES OF SCHRODINGER OPERATOR WITH A GENERAL BOUNDARY CONDITIONS ON FINITE TIME SCALE" . Gazi University Journal of Science 29 (2016 ): 467-472 Chicago Kır Arpat, E , Terzi, H . "SPECTRAL PROPERTIES OF SCHRODINGER OPERATOR WITH A GENERAL BOUNDARY CONDITIONS ON FINITE TIME SCALE". Gazi University Journal of Science 29 (2016 ): 467-472 RIS TY - JOUR T1 - SPECTRAL PROPERTIES OF SCHRODINGER OPERATOR WITH A GENERAL BOUNDARY CONDITIONS ON FINITE TIME SCALE AU - Esra Kır Arpat , Hatice Terzi Y1 - 2016 PY - 2016 N1 - DO - T2 - Gazi University Journal of Science JF - Journal JO - JOR SP - 467 EP - 472 VL - 29 IS - 2 SN - -2147-1762 M3 - UR - Y2 - 2021 ER - EndNote %0 Gazi University Journal of Science SPECTRAL PROPERTIES OF SCHRODINGER OPERATOR WITH A GENERAL BOUNDARY CONDITIONS ON FINITE TIME SCALE %A Esra Kır Arpat , Hatice Terzi %T SPECTRAL PROPERTIES OF SCHRODINGER OPERATOR WITH A GENERAL BOUNDARY CONDITIONS ON FINITE TIME SCALE %D 2016 %J Gazi University Journal of Science %P -2147-1762 %V 29 %N 2 %R %U ISNAD Kır Arpat, Esra , Terzi, Hatice . "SPECTRAL PROPERTIES OF SCHRODINGER OPERATOR WITH A GENERAL BOUNDARY CONDITIONS ON FINITE TIME SCALE". Gazi University Journal of Science 29 / 2 (June 2016): 467-472 . AMA Kır Arpat E , Terzi H . SPECTRAL PROPERTIES OF SCHRODINGER OPERATOR WITH A GENERAL BOUNDARY CONDITIONS ON FINITE TIME SCALE. Gazi University Journal of Science. 2016; 29(2): 467-472. Vancouver Kır Arpat E , Terzi H . SPECTRAL PROPERTIES OF SCHRODINGER OPERATOR WITH A GENERAL BOUNDARY CONDITIONS ON FINITE TIME SCALE. Gazi University Journal of Science. 2016; 29(2): 467-472. IEEE E. Kır Arpat and H. Terzi , "SPECTRAL PROPERTIES OF SCHRODINGER OPERATOR WITH A GENERAL BOUNDARY CONDITIONS ON FINITE TIME SCALE", Gazi University Journal of Science, vol. 29, no. 2, pp. 467-472, Jun. 2016

Authors of the Article
[2]