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

Published online by Cambridge University Press:  11 October 2004

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

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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.

Keywords

Type
Research Article
Copyright
© 2004 Glasgow Mathematical Journal Trust