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On the solvability of first-order discontinuous scalar initial and boundary value problems

Published online by Cambridge University Press:  17 February 2009

R. P. Agarwal  and
S. Heikkilä
R. P. Agarwal
Affiliation:
Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA; e-mail: agarwal@fit.edu.
S. Heikkilä
Affiliation:
Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, 90014 Oulu, Finland.
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Abstract

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In this paper we derive extremality and comparison results for explicit and implicit initial and boundary value problems of first-order differential equations. Both the differential equations and the boundary conditions may involve discontinuities.

Type
Research Article
Information
The ANZIAM Journal , Volume 44 , Issue 4 , April 2003 , pp. 513 - 538
Copyright
Copyright © Australian Mathematical Society 2003

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