Opuscula Math. 29, no. 2 (2009), 131-138
http://dx.doi.org/10.7494/OpMath.2009.29.2.131
Opuscula Mathematica
On an evolution inclusion in non-separable Banach spaces
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.
- Aurelian Cernea
- University of Bucharest, Faculty of Mathematics and Computer Science, Academiei 14, 010014 Bucharest, Romania
- Received: 2008-10-01.
- Accepted: 2009-04-08.