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Picard and weakly Picard operators technique for nonlinear differential equations in Banach spaces
Journal article   Open access  Peer reviewed

Picard and weakly Picard operators technique for nonlinear differential equations in Banach spaces

JinRong Wang, Yong Zhou and Milan Medved̆
Journal of mathematical analysis and applications, Vol.389(1), pp.261-274
01/05/2012
DOI: https://doi.org/10.1016/j.jmaa.2011.11.059

Abstract

Impulsive Nonlocal Cauchy problems Picard operators Weakly Picard operators
In this paper we study nonlocal Cauchy problems for differential equations in Banach spaces. Using Picard and weakly Picard operators technique and suitable Bielecki norms, some existence, uniqueness and data dependence results are obtained under some mild conditions. As an application, we also discuss a class of impulsive Cauchy problems by adapting the same methods.
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https://doi.org/10.1016/j.jmaa.2011.11.059View
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