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Zbl 1111.34057
Dhage, B.C.; Karande, B.D.
First order integro-differential equations in Banach algebras involving Carathéodory and discontinuous nonlinearities. (English)
[J] Electron. J. Qual. Theory Differ. Equ. 2005, Paper No. 21, 16 p., electronic only (2005). ISSN 1417-3875/e

The authors consider a first-order functional integro-differential equation and prove an existence result for absolute continuous solutions by imposing mixed generalized Lipschitz, Carathéodory and monotonicity assumptions.
[Ioan I. Vrabie (Iaşi)]
MSC 2000:
*34K30 Functional-differential equations in abstract spaces
34A12 Initial value problems for ODE
34K05 General theory of functional-differential equations

Keywords: Banach algebra; first-order functional integro-differential; existence

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