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

John R Graef; Abdelghani Ouahab

doi:10.1155/ijmms/2006/31256

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

作者：John R Graef; Abdelghani Ouahab

来源：International Journal of Mathematics and Mathematical Sciences, 2006.

DOI：10.1155/ijmms/2006/31256

摘要

A recent nonlinear alternative for contraction maps in Fr%26#233;chet 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.