Seppo Heikkila, Seppo Seikkala
Abstract:
In this article we derive existence and comparison results for
discontinuous non-absolute functional integral equations of
Volterra type in an ordered Banach space which has a regular order cone.
The obtained results are then applied to first-order impulsive
differential equations.
Submitted April 24, 2008. Published August 6, 2008.
Math Subject Classifications: 26A39, 28B15, 34G20, 34K45, 45N05, 46E40, 47H07.
Key Words: HL integrability; Bochner integrability; ordered Banach space;
dominated convergence; monotone convergence; integral equation;
boundary value problem
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| Seppo Heikkilä Department of Mathematical Sciences, University of Oulu Box 3000, FIN-90014 University of Oulu, Finland email: seppo.heikkila@oulu.fi |
| Seppo Seikkala Division of Mathematics, Department of Electrical Engineering University of Oulu, 90570 Oulu, Finland email: seppo.seikkala@ee.oulu.fi |
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