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Some existence and uniqueness results for first-order boundary value problems for impulsive functional differential equations with infinite delay in Fréchet spaces

John R. Graef and Abdelghani Ouahab

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-16

Abstract:

A recent nonlinear alternative for contraction maps in Fréchet spaces due to Frigon and Granas is used to investigate the existence and uniqueness of solutions to first-order boundary value problems for impulsive functional differential equations with infinite delay. An example to illustrate the results is included.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:031256

DOI: 10.1155/IJMMS/2006/31256

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