Abstract
A nonlinear integral equation is an integral equation in which the unknown function appears in the equation in a nonlinear manner. The nonlinearity may occur either inside or outside of the integrand or simultaneously in both of these locations. It leads to an astonishing variety of new phenomena related to the characteristics of the solutions and to the methods of solution.
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More precisely, a metric space is a topological space whose topology is induced by a metric.
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For a treatment of these issues, see Tricomi, Integral Equations, pp. 202–213.
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© 2012 Springer Science+Business Media, LLC
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Zemyan, S.M. (2012). Nonlinear Integral Equations. In: The Classical Theory of Integral Equations. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8349-8_6
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DOI: https://doi.org/10.1007/978-0-8176-8349-8_6
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Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-8348-1
Online ISBN: 978-0-8176-8349-8
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