A functional integral inclusion involving Carathéodories

B. C. Dhage, Kasubai, Gurucul Colony, Maharashtra, India

E. J. Qualitative Theory of Diff. Equ., No. 14. (2003), pp. 1-18.

Communicated by G. Makay. Appeared on 2003-09-08

Abstract: In this paper the existence of extremal solutions of a functional integral inclusion involving Carathéodory is proved under certain monotonicity conditions. Applications are given to some initial and boundary value problems of ordinary differential inclusion for proving the existence of extremal solutions. Our results generalize the results of Dhage [8] under weaker conditions and complement the results of O'Regan [16].

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