Article
Qualitative Properties of Nonlinear Volterra Integral Equations
Electronic Journal of Qualitative Theory of Differential Equations
Document Type
Article
Publication Date
1-1-2008
Abstract
In this article, the contraction mapping principle and Liapunov's method are used to study qualitative properties of nonlinear Volterra equations of the form x(t)=a(t)−∫t0C(t,s)g(s,x(s))ds,t≥0. In particular, the existence of bounded solutions and solutions with various Lp properties are studied under suitable conditions on the functions involved with this equation.
Inclusive pages
1-16
ISBN/ISSN
1417-3875
Document Version
Published Version
Copyright
Copyright © 2008, Electronic Journal of Qualitative Theory of Differential Equations
Publisher
Bolyai Institute, University of Szeged and the Hungarian Academy of Sciences
Place of Publication
Szeged, Hungary
Peer Reviewed
Yes
Disciplines
Citation Information
Muhammad Islam and Jeffrey T. Neugebauer. "Qualitative Properties of Nonlinear Volterra Integral Equations" Electronic Journal of Qualitative Theory of Differential Equations Vol. 12 (2008) Available at: http://works.bepress.com/muhammad_islam1/22/
This document has been made available for download in accordance with the publisher's open-access policy.
Permission documentation on file.