Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 08, pp. 1-9.

Title: The method of upper and lower solutions  for Caratheodory
       n-th order  differential inclusions

Authors: Bupurao C. Dhage (Maharashtra, India)
         Tarachand L. Holambe (GMCT's ACS College, Maharashtra, India)
	 Sotiris K. Ntouyas (Univ. of Ioannina, Greece)

Abstract: 
   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.

Submitted November 20, 2003. Published January 2, 2004.
Math Subject Classifications: 34A60.
Key Words: Differential inclusion; method of upper and lower solutions;
           existence theorem.