Results 271 to 280 of about 3,392 (297)

On a class of nonlinear singular integral equations with shift on a closed contour

Applied Mathematics and Computation, 2004
Assuming that \(L\) is a sufficiently well behaved closed contour in the complex plane, the authors investigate the nonlinear Cauchy singular integral equation \[ \phi(t) = \Omega \sum_{j=0}^{m-1} a_j(t) \int_L { G(\alpha_j(t), \tau, \phi(\tau)) \over \tau - \alpha_j(t)} d \tau\text{ for }t \in L. \] Here \(\alpha_0(t) = t\) and \(\alpha_j(t) = \alpha(\
S. M. Amer, S. Dardery
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Some Classes of Nonlinear Mixed Volterra and Singular Integral Equations

Zeitschrift für Analysis und ihre Anwendungen, 1992
Existence theorems for some classes of nonlinear mixed Volterra and singular integral or integro-differential equations are proved applying methods of monotone operator theory and Schauder’s fixed point theorem, respectively. Moreover, uniqueness theorems for the solution are given.
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On the theory of nonlinear singular integral equations of Cauchy type

Mathematical Methods in the Applied Sciences, 1985
AbstractThe paper concerns the investigation of two classes of nonlinear singular integral equations with Cauchy kernel important in the applications. There are given uniqueness and existence theorems, the last by a novel application of Schauder's fixed point theorem to this type of equations.
L. v. Wolfersdorf, E. Meister
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On the existence and uniqueness of the solution of a nonlinear singular integral equation

AIP Conference Proceedings, 2017
In this paper, the existence and uniqueness of the solution of a nonlinear singular integral equation, which has broad applications in the theory of elementary particles and scattering, have been investigated in Holder space. An iteration method is proposed for the approximate solution of this nonlinear singular integral equation.
Nizami Mustafa, Veysel Nezir, Mesut Kara
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Numerical methods for nonlinear singular Volterra integral equations

AIP Conference Proceedings, 2012
This work is concerned with the numerical solution of two related nonlinear singular Volterra integral equations which arise in connection with a heat transfer problem. We consider product integration and collocation methods for both equations and several numerical results are presented illustrating the performance of these methods.
Teresa Diogo, Magda Rebelo
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Quadrature solution methods for nonlinear singular integral equations

Russian Mathematics, 2007
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On Approximate Solutions of Linear and Nonlinear Singular Integral Equations

2019
Singular integral equation theory has broad applications to theoretical and practical investigations in mathematics, mathematical physics, hydrodynamic and elasticity theory. This fact motivated many researchers to work on this field and their studies have showed that finding approximate solutions of linear and nonlinear singular integral equations in ...
Nizami Mustafa, Veysel Nezir
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Solution of nonlinear elliptic equations with boundary singularities by an integral equation method

Journal of Computational Physics, 1984
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Numerical Evaluation Methods for Nonlinear Singular Integral Equations

2000
Non-linear singular integral equations are widely used and connected with applications in several field of engineering mechanics like structural analysis, fluid mechanics and aerodynamics. This leads to the necessity to derive solutions for the non-linear singular integral equations arising in applications, by using some approximate and constructive ...
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A Chaotic Phenomenon in Discrete Equations of Nonlinear Singular Integral Equations

Advances in Applied Mathematics, 2022
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