Electron. J. Diff. Eqns., Vol. 2004(2004), No. 08, pp. 1-9.

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

Bupurao C. Dhage, Tarachand L. Holambe, & Sotiris K. Ntouyas

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.

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  Bupurao C. Dhage
Kasubai, Gurukul Colony, Ahmedpur-413 515
Dist: Latur, Maharashtra, India
email: bcd20012001@yahoo.co.in
  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
e-mail: sntouyas@cc.uoi.gr
http://www.math.uoi.gr/~sntouyas

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