Nouvelles inégalités intégrales et applications à la stabilisation des systèmes distribués non dissipatifs

First we prove some new integral inequalities to obtain an estimate on behavior at infinity of a positive and non necessarly decreasing function. This extends some integral inequalities due to A. Haraux, V. Komornik and P. Martinez concerning decreasing functions. Then we give applications to (internal or boundary) stabilization of certain nondissipative distributed systems. To cite this article: A. Guesmia, C. R. Acad. Sci. Paris, Ser. I 336 (2003).