The levinson-type formula for a boundary value problem with a spectral parameter in the boundary condition

Joint Authors

Mamedov, Khanlar R.
Menken, Hamzah

Source

The Arabian Journal for Science and Engineering. Section A, Science

Issue

Vol. 34, Issue 1A (31 Jan. 2009), pp.219-226, 8 p.

Publisher

King Fahd University of Petroleum and Minerals

Publication Date

2009-01-31

Country of Publication

Saudi Arabia

No. of Pages

8

Main Subjects

Mathematics

Topics

Abstract AR

سوف نعد – في هذا البحث – مسألة القيمة الحدودية الناتجة عن معادلات تفاضلية من الدرجة الثانية، و قيمة حدودية معتمدة على مقياس طيفي على نصف الخط لمسألة القيمة الحدودية هذه، نعرف البيانات المشتتة، و نثبت اتصال الدالة المشتتة S(λ)، كما نشتق معادلة من نوع Levinson.

Abstract EN

-In the present paper, we consider a boundary-value problem generated by a second order differential equation and a spectral parameter dependent boundary condition on the half line.

For this boundary-value problem, we define the scattering data, we prove the continuity of the scattering function S(λ), and we derive the Levinson type formula.

2000 Mathematics Subject Classification: 34L25, 34B07

American Psychological Association (APA)

Mamedov, Khanlar R.& Menken, Hamzah. 2009. The levinson-type formula for a boundary value problem with a spectral parameter in the boundary condition. The Arabian Journal for Science and Engineering. Section A, Science،Vol. 34, no. 1A, pp.219-226.
https://search.emarefa.net/detail/BIM-359095

Modern Language Association (MLA)

Mamedov, Khanlar R.& Menken, Hamzah. The levinson-type formula for a boundary value problem with a spectral parameter in the boundary condition. The Arabian Journal for Science and Engineering. Section A, Science Vol. 34, no. 1A (Jan. 2009), pp.219-226.
https://search.emarefa.net/detail/BIM-359095

American Medical Association (AMA)

Mamedov, Khanlar R.& Menken, Hamzah. The levinson-type formula for a boundary value problem with a spectral parameter in the boundary condition. The Arabian Journal for Science and Engineering. Section A, Science. 2009. Vol. 34, no. 1A, pp.219-226.
https://search.emarefa.net/detail/BIM-359095

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 226

Record ID

BIM-359095