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Nonlinear integral equations and its relations with differential equations


Citation

Eshkuvatov, Zainidin K. (2010) Nonlinear integral equations and its relations with differential equations. In: Regional Annual Fundamental Science Symposium 2010 (RAFSS 2010), 8-9 June 2010, Grand Season Hotel, Kuala Lumpur. (pp. 608-627).

Abstract

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.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia
Keywords: Integral equation; Newton-Kantorovich method; Fixed point method; Differential equation; Convergence; Banach and Hilbert spaces
Depositing User: Nabilah Mustapa
Date Deposited: 03 Sep 2018 04:16
Last Modified: 03 Sep 2018 04:16
URI: http://psasir.upm.edu.my/id/eprint/64975
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