Nonlinear integral equations and its relations with differential equations

In this paper the brief historical introduction of linear and nonlinear integral equations and its close relations with ordinary or partial differential equations with some examples are described in Section I. Moreover Newton-Kantorovich method and fixed point method are discussed in detail in Secti...

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Bibliographic Details
Main Author: Eshkuvatov, Zainidin K.
Format: Conference or Workshop Item
Language:English
Published: Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia 2010
Online Access:http://psasir.upm.edu.my/id/eprint/64975/1/2010-9.pdf
http://psasir.upm.edu.my/id/eprint/64975/
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Summary:In this paper the brief historical introduction of linear and nonlinear integral equations and its close relations with ordinary or partial differential equations with some examples are described in Section I. Moreover Newton-Kantorovich method and fixed point method are discussed in detail in Section II. Resent development method and its applications for solving Nonlinear integral equation are discussed in Section III. Finally some problems in nonlinear integral equations are given in Section IV followed by conclusion.