Existence of solutions for nonconvex third order differential inclusions

This paper proves the existence of solutions for a third order initial value nonconvex differential inclusion. We start with an upper semicontinuous compact valued multifunction $F$ which is contained in a lower semicontinuous convex function $\partial V$ and show that, $$x^{(3)}(t) \in F(x(t),x...

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Bibliographic Details
Main Author: Britney Hopkins
Format: Article
Language:English
Published: University of Szeged 2005-11-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=233