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Journal of Applied Analysis 11 (2005), No. 2, 171--186 Copyright Heldermann Verlag 2005 Maximal Solutions and Existence Theory for Fuzzy Differential and Integral Equations Ravi P. Agarwal Dept. of Mathematical Science, Florida Institute of Technology, Melbourne, FL 32901-6975, U.S.A. agarwal@fit.edu Donal O'Regan Dept. of Mathematics, National University, Galway, Ireland donal.oregan@unigalway.ie V. Lakshmikantham Dept. of Mathematical Science, Florida Institute of Technology, Melbourne, FL 32901-6975, U.S.A. lakshmik@fit.edu New existence results are presented for fuzzy differential and integral equations. Our analysis combines the stacking theorem with results concerning the maximal solution for an appropriate differential equation. Keywords: Existence results, fuzzy differential and integral equations, maximal solution, stacking theorem. MSC: 47S40 [ Fulltext-pdf (207 KB)] for subscribers only. |