Bupurao C. Dhage, Tarachand L. Holambe, & Sotiris K. Ntouyas
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.
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| Bupurao C. Dhage |
Kasubai, Gurukul Colony, Ahmedpur-413 515
Dist: Latur, Maharashtra, India
| Tarachand L. Holambe |
GMCT's ACS College, Shankarnagar -431 505
Dist: Nanded, Maharashtra, India
| Sotiris K. Ntouyas |
Department of Mathematics, University of Ioannina
451 10 Ioannina, Greece
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