%0 Journal Article %T A NEW LOOK AT THE LYAPUNOV INEQUALITY %A Constantin P. Niculescu %J Mathematics and its Applications : Annals of the Academy of Romanian Scientists %D 2011 %I Academy of Romanian Scientists Publishing House %X Given a Banach space E, it is proved that any function u in C2([a; b];E) verifies a Lyapunov inequality. The provided constant is sharp. Several applications are included. %K Sturm-Liouville problem %K function of bounded variation %K differentiable function %U http://www.mathematics-and-its-applications.com/preview/july2011/data/12_niculescu.pdf