Nonlinear Integral Equations

Stephen M. Zemyan
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Stephen M. Zemyan: Pennsylvania State University Mont Alto, Department of Mathematics

Chapter Chapter 6 in The Classical Theory of Integral Equations, 2012, pp 211-241 from Springer

Abstract: 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.

Keywords: Nonlinear Integral Equations; Real-valued Solution; Hilbert-Schmidt Theory; Volterra Type; Fredholm Type (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-0-8176-8349-8_6

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