On boundary-value problems for second order perturbed differential inclusions

Authors: Dhage, B. C.¹; Graef, J. R.²

Source: Applicable Analysis, Volume 84, Number 9, September 2005 , pp. 953-970(18)

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Abstract:

This article studies the existence of solutions to boundary-value problems for second order multi-valued perturbed differential inclusions under the mixed Lipschitz and Carathéodory conditions. The existence of extremal solutions is also obtained under certain monotonicity conditions and the weaker nonconvexity conditions for multi-valued functions.

Keywords: Boundary-value problems; Differential inclusions; Existence theorem; Extremal solutions; 2000 Mathematics Subject Classification: 34A60

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00036810500136197

Affiliations: 1: Kasubai, Gurukul Colony, Ahmedpur 413 515, Latur, Maharashtra, India 2: Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403-2598, USA

Publication date: 2005-09-01

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