On the solvability of first-order discontinuous scalar initial and boundary value problems-Reference-Cited by-同舟云学术

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

Published:2003-04 Issue:4 Volume:44 Page:513-538
ISSN:1446-1811
Container-title:The ANZIAM Journal
language:en
Short-container-title:ANZIAM J.

Author:

Agarwal R. P.,Heikkilä S.

Abstract

AbstractIn 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.

Publisher

Cambridge University Press (CUP)

Subject

Mathematics (miscellaneous)

Reference19 articles.

1. On first-order discontinuous differential equations with nonlinear boundary conditions;Heikkilä;Nonlinear World,1996

2. On first-order discontinuous differential equations with functional boundary conditions;Heikkilä;Adv. in Nonlinear Dynamics,1997

3. On solvability of first-order discontinuous scalar differential equations;Carl;Nonlinear Times and Digest,1995

4. Extension of the method of upper and lower solutions for discontinuous differential equations;Heikkilä;Diff. Eqns. and Dyn. Syst.,1993

5. A unified theory for first-order discontinuous scalar differential equations

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