Skip Navigation


Journal of the London Mathematical Society Advance Access originally published online on May 19, 2009
Journal of the London Mathematical Society 2009 80(1):99-120; doi:10.1112/jlms/jdp012
This Article
Right arrow FREE Full Text (PDF) Freely available
Right arrow All Versions of this Article:
80/1/99    most recent
jdp012v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Chernyavskaya, N.
Right arrow Articles by Shuster, L.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2009 London Mathematical Society

A criterion for correct solvability in Lp(R) of a general Sturm–Liouville equation

N. Chernyavskaya

Department of Mathematics and Computer Science
Ben-Gurion University of the Negev
P.O.B. 653
Beer-Sheva 84105
Israel
nina@math.bgu.ac.il

L. Shuster

Department of Mathematics
Bar-Ilan University
Ramat Gan 52900
Israel

We consider an equation


Formula

where f isin Lp(R) for p isin (1, {infty}) with the following conditions:


Formula

By a solution of the above-mentioned equations, we mean any function y that is absolutely continuous together with ry' and satisfies it almost everywhere on R. Under the above-mentioned conditions, we give a criterion for the correct solvability of the above-mentioned equation in Lp(R) for p isin (1, {infty}).

2000 Mathematics Subject Classification 34B24, 34L40.

Received February 26, 2008; revised January 21, 2009; published online May 19, 2009.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.