Continuous Solutions of Integral Equations via Schauder’s Theorem

Radu Precup
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Radu Precup: Babeş-Bolyai University, Department of Applied Mathematics

Chapter Chapter 3 in Methods in Nonlinear Integral Equations, 2002, pp 35-41 from Springer

Abstract: Abstract 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.

Date: 2002
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DOI: 10.1007/978-94-015-9986-3_4

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