Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843 - 7265 (print)
 Volume 3 (2008), 167 -- 175

ON THE SOLUTION SET OF A TWO POINT BOUNDARY VALUE PROBLEM

Aurelian Cernea

Abstract. We consider a nonconvex and nonclosed second order differential inclusion with nonlocal boundary conditions and we prove the arcwise connectedness of the solution set.

2000 Mathematics Subject Classification: 34A60
Keywords: Differential inclusion; boundary value problem; set-valued contraction; fixed point.

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Aurelian Cernea
Faculty of Mathematics and Informatics
University of Bucharest,
Academiei 14, 010014 Bucharest, Romania.
e-mail: acernea@fmi.unibuc.ro

http://www.utgjiu.ro/math/sma