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Erschienen in:
2002 | OriginalPaper | Buchkapitel
Continuous Solutions of Integral Equations via Schauder’s Theorem
verfasst von : Radu Precup
Erschienen in: Methods in Nonlinear Integral Equations
Verlag: Springer Netherlands
Enthalten in: Professional Book Archive
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This chapter presents three examples of nonlinear integral operators which are completely continuous on some spaces of continuous functions: the Fredholm integral operator, the Volterra integral operator, and a particular integral operator with delay. Simultaneously, by means of Schauder’s fixed point theorem we prove existence theorems for continuous solutions of the integral equations associated to these operators.