Electron. J. Diff. Eqns.,
Vol. 2008(2008), No. 39, pp. 19.
Nonlinear Volterra integral equations in Henstock
integrability setting
BiancaRenata Satco
Abstract:
We prove the existence of global solutions for nonlinear
Volterratype integral equations involving the Henstock integral
in Banach spaces. The functions governing the equation are supposed
to be continuous only with respect to some variables and to
satisfy some integrability or boundedness conditions.
Our result improves the similar one given in [16]
(where uniform continuity was required), as well as those referred
therein. Then a related existence result is deduced in the
setvalued case.
Submitted January 29, 2008. Published March 14, 2008.
Math Subject Classifications: 45D05, 26A39, 47H10.
Key Words: Nonlinear Volterra equation; Henstock integral;
Darbo's fixed point theorem.
Show me the
PDF file (218 KB),
TEX file, and other files for this article.

BiancaRenata Satco
Faculty of Electrical Engineering and Computer Science
"Stefan cel Mare" University of Suceava
Universitatii 13  Suceava  Romania
email: bisatco@eed.usv.ro 
Return to the EJDE web page