Mathematical models based on singular integral equations with non-Carleman shift. Analysis of solvability and numerical methods of solution

A. A. Batyrev

doi:10.1007/s10958-010-0107-7

Mathematical models based on singular integral equations with non-Carleman shift. Analysis of solvability and numerical methods of solution

Journal of Mathematical Sciences ◽

10.1007/s10958-010-0107-7 ◽

2010 ◽

Vol 170 (5) ◽

pp. 622-628

Author(s):

A. A. Batyrev

Keyword(s):

Numerical Methods ◽

Mathematical Models ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Carleman Shift ◽

Shift Analysis

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Explicit solutions of Cauchy singular integral equations with weighted Carleman shift

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2010.04.050 ◽

2010 ◽

Vol 371 (1) ◽

pp. 128-133 ◽

Cited By ~ 8

Author(s):

L.P. Castro ◽

E.M. Rojas

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Explicit Solutions ◽

Carleman Shift ◽

Cauchy Singular Integral

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On a class of singular integral equations with the linear fractional Carleman shift and the degenerate kernel

Complex Variables and Elliptic Equations ◽

10.1080/17476930701619782 ◽

2008 ◽

Vol 53 (2) ◽

pp. 117-137 ◽

Cited By ~ 10

Author(s):

Le Huy Chuan ◽

Nguyen Van Mau ◽

Nguyen Minh Tuan

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Degenerate Kernel ◽

Carleman Shift

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Approximate solution of singular integral equations with a Carleman shift and the complex-conjugate values of the unknown function

Ukrainian Mathematical Journal ◽

10.1007/bf01089763 ◽

1981 ◽

Vol 32 (3) ◽

pp. 251-254

Author(s):

V. D. Didenko

Keyword(s):

Approximate Solution ◽

Integral Equations ◽

Singular Integral ◽

Unknown Function ◽

Singular Integral Equations ◽

Complex Conjugate ◽

Carleman Shift

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Solvability theory of singular integral equations with a Carleman shift and complex conjugated boundary values in the degenerated and stable cases

Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift ◽

10.1007/978-94-011-4363-9_5 ◽

2000 ◽

pp. 177-205

Author(s):

Georgii S. Litvinchuk

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Boundary Values ◽

Carleman Shift ◽

Solvability Theory

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Numerical methods of solving the planar problem of elasticity theory for bodies with cracks by means of singular integral equations

Soviet Applied Mechanics ◽

10.1007/bf00884076 ◽

1980 ◽

Vol 16 (8) ◽

pp. 704-710 ◽

Cited By ~ 2

Author(s):

A. V. Boiko ◽

L. N. Karpenko

Keyword(s):

Numerical Methods ◽

Elasticity Theory ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Planar Problem

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Approximate Methods for Singular Integral Equations with a Non-Carleman Shift

Journal of Integral Equations and Applications ◽

10.1216/jiea/1181075913 ◽

1996 ◽

Vol 8 (1) ◽

pp. 1-17 ◽

Cited By ~ 11

Author(s):

A.A. Baturev ◽

V.G. Kravchenko ◽

G.S. Litvinchuk

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Approximate Methods ◽

Carleman Shift

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Numerical methods for solving singular integral equations obtained by fracture mechanical analysis of cracked wedge

Applied Mathematics and Mechanics ◽

10.1007/s10483-014-1793-6 ◽

2014 ◽

Vol 35 (3) ◽

pp. 311-324

Author(s):

M. Ghadiri ◽

H. Ghasemi

Keyword(s):

Numerical Methods ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Mechanical Analysis

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On some numerical methods for the solution of the plane elasticity problem for bodies with cracks by means of singular integral equations

International Journal of Fracture ◽

10.1007/bf00036190 ◽

1981 ◽

Vol 17 (4) ◽

pp. 381-388 ◽

Cited By ~ 30

Author(s):

A. V. Boiko ◽

L. N. Karpenko

Keyword(s):

Numerical Methods ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Plane Elasticity ◽

Elasticity Problem ◽

Plane Elasticity Problem

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

Mathematical and Computational Applications ◽

10.3390/mca17020121 ◽

2012 ◽

Vol 17 (2) ◽

pp. 121-131

Author(s):

Mohamed Allan

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Singular Integral ◽

Singular Integral Equations ◽

Carleman Shift

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On a Class of Nonlinear Singular Integral Equations with Carleman Shift in Generalized Holder Spaces

Mathematical and Computational Applications ◽

10.3390/mca9020225 ◽

2004 ◽

Vol 9 (2) ◽

pp. 225-236

Author(s):

S. Amer ◽

S. Dardery

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Hölder Spaces ◽

Carleman Shift ◽

Holder Spaces

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