Qualitative Properties of Nonlinear Volterra Integral Equations

Author(s)

Muhammad Islam, University of DaytonFollow
Jeffrey T. Neugebauer, University of Dayton

Document Type

Article

Publication Date

2008

Publication Source

Electronic Journal of Qualitative Theory of Differential Equations

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 L^p 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

Comments

This document has been made available for download in accordance with the publisher's open-access policy.

Permission documentation on file.

Copyright

Copyright © 2008, Electronic Journal of Qualitative Theory of Differential Equations

Publisher

Bolyai Institute, University of Szeged and the Hungarian Academy of Sciences

Volume

12

Place of Publication

Szeged, Hungary

Peer Reviewed

yes

eCommons Citation

Islam, Muhammad and Neugebauer, Jeffrey T., "Qualitative Properties of Nonlinear Volterra Integral Equations" (2008). Mathematics Faculty Publications. 60.
https://ecommons.udayton.edu/mth_fac_pub/60