Periodic and boundary value problems for second order differential inclusions

Michela Palmucci and Francesca Papalini

International Journal of Stochastic Analysis, 2001, vol. 14, 1-22

Abstract:

In this paper we study differential inclusions with boundary conditions in which the vector field F ( t , x , y ) is a multifunction with Caratheodory type conditions. We consider, first, the case which F has values in ℝ and we establish the existence of extremal solutions in the order interval determined by the lower and the upper solution. Then we prove the existence of solutions for a Dirichlet problem in the case in which F takes their values in a Hilbert space.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:840981

DOI: 10.1155/S1048953301000120

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