Existence and approximate solutions of nonlinear integral equations | Zendy

Abderrazek Karoui | Zendy

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Existence and approximate solutions of nonlinear integral equations

Author(s) -

Abderrazek Karoui

Publication year - 2005

Publication title -

journal of inequalities and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.735

H-Index - 50

eISSN - 1029-242X

pISSN - 1025-5834

DOI - 10.1155/jia.2005.569

Subject(s) - mathematics , fixed point theorem , schauder fixed point theorem , nonlinear system , banach space , integral equation , picard–lindelöf theorem , mathematical analysis , volterra integral equation , fixed point , brouwer fixed point theorem , pure mathematics , quantum mechanics , physics

We investigate the existence of continuous solutions on compact intervals of some nonlinear integral equations. The existence of such solutions is based on some well-known fixed point theorems in Banach spaces such as Schaefer fixed point theorem, Schauder fixed point theorem, and Leray-Schauder principle. A special interest is devoted to the study of nonlinear Volterra equations and to the numerical treatment of these equations.

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