Year 2016, Volume 29 , Issue 2, Pages 467 - 472 2016-06-21

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
Subjects Engineering
Journal Section Mathematics
Authors

Author: Esra Kır Arpat

Author: Hatice Terzi

Dates

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 <https://dergipark.org.tr/en/pub/gujs/issue/24433/259004>
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