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# Integro-differential Equations in Banach Algebras Involving Caratheodory and Discontinuous Nonlinearities

@inproceedings{DhageIntegrodifferentialEI, title={Integro-differential Equations in Banach Algebras Involving Caratheodory and Discontinuous Nonlinearities}, author={Bapurao C. Dhage and B. D. Karande} }

(ii) x satisfies the equations in (1.1), where, AC1(J,R) is the space of absolutely continuous real-valued functions on J . In recent years, the topic of nonlinear differential equations in Banach algebras is received the attention of several authors and at present, there is a considerable literature available in this direction. See Dhage and O’Regan [5] Dhage et. al. [6] and and the references therein. In this paper we deal with the second order ordinary differential equations in Banach… CONTINUE READING

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