Nonlinear Fredholm Integral Equations

Abdul-Majid Wazwaz ()
Additional contact information
Abdul-Majid Wazwaz: Saint Xavier University

Chapter Chapter 15 in Linear and Nonlinear Integral Equations, 2011, pp 467-515 from Springer

Abstract: 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.

Keywords: Recurrence Relation; Bifurcation Point; Series Form; Fredholm Integral Equation; Homotopy Perturbation Method (search for similar items in EconPapers)
Date: 2011
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-21449-3_15

Ordering information: This item can be ordered from
http://www.springer.com/9783642214493

DOI: 10.1007/978-3-642-21449-3_15

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().