Systems of differential inclusions with maximal monotone terms |
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Authors: | M Frigon E Montoki |
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Institution: | Département de mathématiques et de statistique, Université de Montréal, CP 6128, succ. Centre-Ville, Montréal (Québec), H3C 3J7, Canada |
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Abstract: | In this paper, we establish the existence of solutions to systems of second order differential inclusions with maximal monotone terms. Our proofs rely on the theory of maximal monotone operators and the Schauder degree theory. A notion of solution-tube to these problems is introduced. This notion generalizes the notion of upper and lower solutions of second order differential equations. |
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Keywords: | Systems of differential inclusions Boundary value problems Monotone operator Fixed point theory |
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