Abstract
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 \(u^{\prime}\).
Authors
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
Keywords
Anti-periodic solution; nonlinear boundary-value problem; dissipative operator; multivalued mapping; fixed point.
Paper coordinates
J.-F. Couchouron, R. Precup, Anti-periodic solutions for second order differential inclusions, Electron. J. Differential Equations 2004 (2004), 1-17.
About this paper
Journal
Electronic Journal of Differential Equations
Publisher Name
paper on journal website
Print ISSN
Online ISSN
1072-6691
MR 93a:58028, Zbl 745.54018
google scholar link
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