Global existence for neutral functional integrodifferential equations. (English) Zbl 0890.45004

The author considers the existence of a solution in a compact interval for the initial value problem for a class of nonlinear first order functional differential equations of neutral type. The same is studied for the initial value problem for a second order equation. The results are obtained by a direct application of the Schauder fixed point theorem.


45J05 Integro-ordinary differential equations
45G10 Other nonlinear integral equations
Full Text: DOI


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