Anti-periodic solutions for second order differential inclusions


In this paper, we extend the existence results presented in [9] for \(L^p\) spaces to operator inclusions of Hammerstein type in \(W^{1,p}\) spaces. We also show an application of our results to anti-periodic boundary-value problems of second-order differential equations with nonlinearities depending on \(u^{\prime}\).


Jean-Francois Couchouron
Université de Metz, Mathématiques INRIA Lorraine, Ile du Saulcy, 57045 Metz, France

Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania


Anti-periodic solution; nonlinear boundary-value problem; dissipative operator; multivalued mapping; fixed point.

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J.-F. Couchouron, R. Precup, Anti-periodic solutions for second order differential inclusions, Electron. J. Differential Equations 2004 (2004), 1-17.


About this paper


Electronic Journal of Differential Equations

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MR 93a:58028, Zbl 745.54018

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