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Existence Theory for First Order Discontinuous Functional Differential Equations

Eduardo Liz and Rodrigo L. Pouso
Proceedings of the American Mathematical Society
Vol. 130, No. 11 (Nov., 2002), pp. 3301-3311
Stable URL: http://www.jstor.org/stable/1194158
Page Count: 11
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Existence Theory for First Order Discontinuous Functional Differential Equations
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Abstract

We prove the existence of extremal solutions for a first order functional differential equation subject to nonlinear boundary conditions of functional type. Moreover, the functions that define our problem are allowed to be discontinuous. The proof of our main result is based on a generalized iterative technique.

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