Glasgow Mathematical Journal



ON DISCONTINUOUS FUNCTIONAL VOLTERRA INTEGRAL EQUATIONS AND IMPULSIVE DIFFERENTIAL EQUATIONS IN ABSTRACT SPACES


S. HEIKKILÄ a1 and D. O'REGAN a2
a1 Department of Mathematical Sciences, University of Oulu, Box 3000, FIN-90014 University of Oulu, Finland e-mail: Seppo.Heikkila@oulu-fi
a2 Department of Mathematics, National University of Ireland, Galway, Ireland e-mail: donal.oregan@nuigalway.ie

Article author query
heikkila s   [Google Scholar] 
o'regan d   [Google Scholar] 
 

Abstract

In this paper we apply fixed point results in ordered spaces to derive existence and comparison results for discontinuous functional integral equations of Volterra type in ordered Banach spaces. The results obtained are then applied to first order impulsive differential equations.

(Received October 3 2003)
(Accepted January 14 2004)

Maths Classification

45D05; 45N05; 34A37.