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Journal ArticleDOI

On a Class of Nonlinear Singular Integral Equations

L. V. Wolfersdorf
- 01 Jan 1985 - 
- Vol. 65, Iss: 7, pp 309-310
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TLDR
In this article, the theorie des operateurs monotones for obtenir des theoremes d'existence for des equations integrales a terme libre sous lineaire.
Abstract
On applique la theorie des operateurs monotones pour obtenir des theoremes d'existence pour des equations integrales a terme libre sous lineaire

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Citations
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Journal ArticleDOI

On the theory of nonlinear singular integral equations with shift in Hölder spaces

S. M. Amer, +1 more
- 19 Sep 2005 - 
TL;DR: In this paper, the applicability of the method of Kantorovich majorants to nonlinear singular integro-differential equations with shift is discussed and the results are illustrated in the generalized Hölder spaces.
Journal ArticleDOI

The method of Kantorovich majorants to nonlinear singular integral equation with shift

TL;DR: The paper is concerned with the applicability of the method of Kantorovich majorants to nonlinear singular integral equation with shift and the result is illustrated in the generalized Holder space.
Journal ArticleDOI

A Collocation Method for a Class of Nonlinear Singular Integral Equations with a Carleman Shift

TL;DR: In this article, the applicability of the collocation method to a class of nonlinear singular integral equations with a Carleman shift preserving orientation on simple closed smooth Jordan curve in the generalized Holder space was discussed.
Journal ArticleDOI

Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces

TL;DR: In this paper, a class of non-linear singular integral equations with Hilbert kernel and a related class of quasilinear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach spaces.
References
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Book ChapterDOI

Linear Maximal Monotone Operators and Singular Nonlinear Integral Equations of Hammerstein Type

TL;DR: In this paper, a review of maximal monotonicity of monotone operators and singular nonlinear integral equations of the hammerstein type is presented, with a focus on monotonically monotonous operators and their application to the existence of solutions of nonlinear equations.
Journal ArticleDOI

Monotonicity Methods for Nonlinear Singular Integral and Integro-Differential Equations†

TL;DR: This article proved existence theorems for singular integral and integro differential equations of Cauchy's type, and admitted general nonlinearities in the considered integral equations than in the existing literature.