Opuscula Math. 29, no. 2 (2009), 131-138

On an evolution inclusion in non-separable Banach spaces

Aurelian Cernea
Abstract. We consider a Cauchy problem for a class of nonconvex evolution inclusions in non-separable Banach spaces under Filippov-type assumptions. We prove the existence of solutions.
Keywords: Lusin measurable multifunctions, selection, mild solution.
Mathematics Subject Classification: 34A60.
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Aurelian Cernea
University of Bucharest, Faculty of Mathematics and Computer Science, Academiei 14, 010014 Bucharest, Romania
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Received: 2008-10-01.
Accepted: 2009-04-08.
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Aurelian Cernea, On an evolution inclusion in non-separable Banach spaces, Opuscula Math. 29, no. 2 (2009), 131-138, http://dx.doi.org/10.7494/OpMath.2009.29.2.131.
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