Existence results for second order convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spaces
In a previous work the authors proved under a complex assumption on the set-valued mapping, the existence of Lipschitz solutions for second order convex sweeping processes in $p$-uniformly smooth and $q$-uniformly convex Banach spaces. In the present work we prove the same result, under a condition...
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Format: | Article |
Language: | English |
Published: |
University of Szeged
2012-03-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=726 |
Summary: | In a previous work the authors proved under a complex assumption on the set-valued mapping, the existence of Lipschitz solutions for second order convex sweeping processes in $p$-uniformly smooth and $q$-uniformly convex Banach spaces. In the present work we prove the same result, under a condition on the distance function to the images of the set-valued mapping. Our assumption is much simpler than the one used in the former paper. |
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ISSN: | 1417-3875 1417-3875 |