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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  and
D. O'REGAN
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: [email protected]
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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

45D0545N0534A37
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 46 , Issue 3 , September 2004 , pp. 529 - 536
Copyright
© 2004 Glasgow Mathematical Journal Trust