%0 Journal Article %T The method of upper and lower solutions for Caratheodory n-th order differential inclusions %A Bupurao C. Dhage %A Tarachand L. Holambe %A Sotiris K. Ntouyas %J Electronic Journal of Differential Equations %D 2004 %I Texas State University %X In this paper, we prove an existence theorem for n-th order differential inclusions under Caratheodory conditions. The existence of extremal solutions is also obtained under certain monotonicity condition of the multi-function. %K Differential inclusion %K method of upper and lower solutions %K existence theorem. %U http://ejde.math.txstate.edu/Volumes/2004/08/abstr.html