Systems of first order differential inclusions with maximal monotone terms |
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Authors: | M Frigon |
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Institution: | Département de mathématiques et de statistique, Université de Montréal, C.P. 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 first order differential inclusions with maximal monotone terms satisfying the periodic boundary condition. Our proofs rely on the theory of maximal monotone operators, and the Schauder and the Kakutani fixed point theorems. A notion of solution-tube to these problems is introduced. This notion generalizes the notion of upper and lower solutions of first order differential equations. |
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Keywords: | primary 34A60 secondary 34B15 34A34 47N20 47H05 |
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