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Nonlinear Fredholm Integral Equations

In: Linear and Nonlinear Integral Equations

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  • Abdul-Majid Wazwaz

    (Saint Xavier University)

Abstract

It was stated in Chapter 4 that Fredholm integral equations arise in many scientific applications. It was also shown that Fredholm integral equations can be derived from boundary value problems. Erik Ivar Fredholm (1866–1927) is best remembered for his work on integral equations and spectral theory. Fredholm was a Swedish mathematician who established the theory of integral equations and his 1903 paper in Acta Mathematica played a major role in the establishment of operator theory. The linear Fredholm integral equations and the linear Fredholm integro-differential equations were presented in Chapters 4 and 6 respectively. It is our goal in this chapter to study the nonlinear Fredholm integral equations of the second kind and systems of nonlinear Fredholm integral equations of the second kind.

Suggested Citation

  • Abdul-Majid Wazwaz, 2011. "Nonlinear Fredholm Integral Equations," Springer Books, in: Linear and Nonlinear Integral Equations, chapter 0, pages 467-515, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-21449-3_15
    DOI: 10.1007/978-3-642-21449-3_15
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