Periodic and boundary value problems for second order differential inclusions. (2001)

• Record Type: Journal Article
• Authors: Palmucci, Michela; Papalini, Francesca
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 14:Number 2(2001)
• Page Start: 161
• Page End: 182
• Publication Date: 2001
• Subjects: upper solutions -- lower solutions -- order interval -- truncation map -- penalty function -- tube solution -- extremal solutions; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953301000120
• Languages: English
• ISSNs: 1048-9533

Abstract

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.