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Abstract. This paper examines nonlinear parabolic initial-boundary value problems with a discontinuous forcing term, which is locally of bounded variation. Assuming that there exist an upper solution T and a lower solution ~b, we prove the existence of a maximal and of a minimal solution within the order interval [~b, ~p] C LP(T x Z). Our approach is based on a Jordan-type decomposition for the discontinuous forcing term and on a fixed point theorem for nondecreasing maps in ordered Banach spaces.

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