First order integro-differential equations in Banach algebras involving Caratheodory and discontinuous nonlinearities
B. C. Dhage, Kasubai, Gurucul Colony, Maharashtra, India E. J. Qualitative Theory of Diff. Equ., No. 21. (2005), pp. 1-16.
B. D. Karande, Kasubai, Gurucul Colony, Maharashtra, India
| Communicated by P. Eloe. | Received on 2005-06-30 Appeared on 2005-11-05 |
Abstract: In this paper some existence theorems for the first order differential equations in Banach algebras is proved under the mixed generalized Lipschitz, Carath\'eodory and monotonicity conditions.
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