Year 2008, Volume 11, Issue 1, Pages 33 - 36 2008-06-30

Singülerliğe Sahip Schrödinger Diferansiyel Denkleminin Çözümlerinin Özel Bir Dönüsüm Yardımı ile Bulunması
Using Special Rules for Transformation of the Finding Exact Solutions of the Singular Schrödinger Differential Equation

Özkan KARAMAN [1] , Mehmet KORKMAZ [2] , Yaşar ASLAN [3]

29 0

Bu makalede özel bir singüleriteye sahip sınır değer probleminin, spektral analizinin
incelenmesinde kısa bir yöntemi verilecektir.
singüler diferansiyel denkleminin
y¢(0) - aly(0) = 0
sınır kosulunu gerçekleyen çözümlerini
¢¢ - ( ) + 2 = 0, Î = [0,¥), y V x y l y x R+
y¢(0) - aly(0) = 0
singüler olmayan diferansiyel denkleminin sınır değer problemini gerçekleyen çözümleri yardımı ile
bulunduğu gösterilecektir. Burada V kompleks değerli bir fonksiyon, a bir doğal sayı ve λ bir
parametredir.

In this article we give a very brief outline of one way of carrying out the spectral analysis of a boundary value problem with specified singularities and investigating the corresponding inverse problem. We find out the solutions of equation satisfying the boundary condition
y¢(0) - aly(0) = 0
where V is a real valued function, λ is a spectral parameter and a is a natural number. As the mention above, these solutions of a singular boundary value problem were made of our premises which
results came out the solutions of a non singular boundary value problem
¢¢ - ( ) + 2 = 0, Î = [0,¥), y V x y l y x R+
y¢(0) - aly(0) = 0.

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Primary Language en
Subjects Science
Journal Section Articles
Authors

Orcid: 0000-0000-0000-0000
Author: Özkan KARAMAN

Orcid: 0000-0000-0000-0000
Author: Mehmet KORKMAZ

Orcid: 0000-0000-0000-0000
Author: Yaşar ASLAN

Bibtex @research article { ksudobil393294, journal = {KSÜ Doğa Bilimleri Dergisi}, issn = {}, eissn = {1309-1743}, address = {Kahramanmaras Sutcu Imam University}, year = {2008}, volume = {11}, pages = {33 - 36}, doi = {}, title = {Using Special Rules for Transformation of the Finding Exact Solutions of the Singular Schrödinger Differential Equation}, key = {cite}, author = {KARAMAN, Özkan and KORKMAZ, Mehmet and ASLAN, Yaşar} }
APA KARAMAN, Ö , KORKMAZ, M , ASLAN, Y . (2008). Using Special Rules for Transformation of the Finding Exact Solutions of the Singular Schrödinger Differential Equation. KSÜ Doğa Bilimleri Dergisi, 11 (1), 33-36. Retrieved from http://dergipark.org.tr/ksudobil/issue/35406/393294
MLA KARAMAN, Ö , KORKMAZ, M , ASLAN, Y . "Using Special Rules for Transformation of the Finding Exact Solutions of the Singular Schrödinger Differential Equation". KSÜ Doğa Bilimleri Dergisi 11 (2008): 33-36 <http://dergipark.org.tr/ksudobil/issue/35406/393294>
Chicago KARAMAN, Ö , KORKMAZ, M , ASLAN, Y . "Using Special Rules for Transformation of the Finding Exact Solutions of the Singular Schrödinger Differential Equation". KSÜ Doğa Bilimleri Dergisi 11 (2008): 33-36
RIS TY - JOUR T1 - Using Special Rules for Transformation of the Finding Exact Solutions of the Singular Schrödinger Differential Equation AU - Özkan KARAMAN , Mehmet KORKMAZ , Yaşar ASLAN Y1 - 2008 PY - 2008 N1 - DO - T2 - KSÜ Doğa Bilimleri Dergisi JF - Journal JO - JOR SP - 33 EP - 36 VL - 11 IS - 1 SN - -1309-1743 M3 - UR - Y2 - 2008 ER -
EndNote %0 Journal Of Agriculture and Nature Using Special Rules for Transformation of the Finding Exact Solutions of the Singular Schrödinger Differential Equation %A Özkan KARAMAN , Mehmet KORKMAZ , Yaşar ASLAN %T Using Special Rules for Transformation of the Finding Exact Solutions of the Singular Schrödinger Differential Equation %D 2008 %J KSÜ Doğa Bilimleri Dergisi %P -1309-1743 %V 11 %N 1 %R %U
ISNAD KARAMAN, Özkan , KORKMAZ, Mehmet , ASLAN, Yaşar . "Using Special Rules for Transformation of the Finding Exact Solutions of the Singular Schrödinger Differential Equation". KSÜ Doğa Bilimleri Dergisi 11 / 1 (June 2008): 33-36.