Skip Navigation



Bulletin of the London Mathematical Society Advance Access published online on November 1, 2009
Bulletin of the London Mathematical Society, doi:10.1112/blms/bdp088
This Article
Right arrow FREE Full Text (PDF) Freely available
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 Banas, J.
Right arrow Articles by Chlebowicz, A.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2009 London Mathematical Society

On integrable solutions of a nonlinear Volterra integral equation under Carathéodory conditions

J. Banas and A. Chlebowicz

Department of Mathematics
Rzeszow University of Technology
W. Pola 2, 35-959 Rzeszow
Poland
agnchleb@prz.rzeszow.pl

Received 16 December 2008. Revision received 7 July 2009.

In this paper we study the existence of solutions of a nonlinear Volterra integral equation in the space of Lebesgue integrable functions on an unbounded interval. Our existence result is obtained under the assumption that functions involved in the considered integral equation satisfy conditions of Carathéodory type. The main tool used in the investigations of the paper is the combination of the technique of measures of weak noncompactness with the classical Schauder fixed point principle. The obtained result generalizes several ones obtained earlier in many papers and monographs.

2000 Mathematics Subject Classification 47H09, 45G10.

The first author is supported by Ministerio de Ciencia y Tecnologia, the project MTM 2007-65706, Spain.


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.