On discontinuous functional volterra integral equations and impulsive differential equations in abstract spaces
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2004-09-01Author
HEIKKILÄ, S.
O'REGAN, D.
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HEIKKILÄ, S. O'REGAN, D. (2004). On discontinuous functional volterra integral equations and impulsive differential equations in abstract spaces. Glasgow Mathematical Journal 46 , 529-536
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.