Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Mat. Fiz. Anal. Geom.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2015, Volume 11, Number 3, Pages 279–296
DOI: https://doi.org/10.15407/mag11.03.279 (Mi jmag621) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On the Jost solutions for a class of Schrödinger equations with piecewise constant coefficients

A. A. Nabieva, Kh. R. Mamedovb

a Department of Mathematics, Faculty of Science, Cumhuriyet University, Sivas, 58140 Turkey
b Department of Mathematics, Faculty of Science and Letters, Mersin University, Mersin, 33343 Turkey
Full-text PDF (193 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.15407/mag11.03.279
Abstract: In this paper, the new integral representations for the Jost solutions of the one-dimensional Schrödinger equation with the piecewise-constant leading coefficient are obtained. The connections, obtained between the kernel functions of the integral representations and the potential function of the Schrödinger equation, enable to solve the inverse scattering problem on the entire real line.
Key words and phrases: Schrödinger equation, Jost solution, integral representation.
Received: 23.10.2013
Revised: 03.08.2014
Bibliographic databases:
Document Type: Article
MSC: 34L40
Language: English
Citation: A. A. Nabiev, Kh. R. Mamedov, “On the Jost solutions for a class of Schrödinger equations with piecewise constant coefficients”, Zh. Mat. Fiz. Anal. Geom., 11:3 (2015), 279–296
Citation in format AMSBIB
\Bibitem{NabMam15}
\by A.~A.~Nabiev, Kh.~R.~Mamedov
\paper On the Jost solutions for a class of Schr\"odinger equations with piecewise constant coefficients
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2015
\vol 11
\issue 3
\pages 279--296
\mathnet{http://mi.mathnet.ru/jmag621}
\crossref{https://doi.org/10.15407/mag11.03.279}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3443276}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000361313900005}
Linking options:
  • https://www.mathnet.ru/eng/jmag621
  • https://www.mathnet.ru/eng/jmag/v11/i3/p279
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:245
    Full-text PDF :95
    References:45
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024