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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
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/1194158
Page Count: 11
You can always find the topics here!Topics: Differential equations, Boundary conditions, Boundary value problems, Mathematical functions, Cauchy problem, Mathematical maxima, Function discontinuity, Mathematical problems, Ordinary differential equations
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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.
Proceedings of the American Mathematical Society © 2002 American Mathematical Society