# Anti-periodic solutions for second order differential inclusions

## 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

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.

## PDF

##### Journal

Electronic Journal of Differential Equations

##### Online ISSN

1072-6691

MR 93a:58028, Zbl 745.54018