Solution of a class of the first kind singular integral equation with multiplicative Cauchy kernel
Paweł Wójcik; Michail A. Sheshko; Dorota Pylak; Paweł Karczmarek
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2012)
- Volume: 66, Issue: 2
- ISSN: 0365-1029
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Abstract
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topPaweł Wójcik, et al. "Solution of a class of the first kind singular integral equation with multiplicative Cauchy kernel." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 66.2 (2012): null. <http://eudml.org/doc/289765>.
@article{PawełWójcik2012,
abstract = {In the present paper, we give the exact solutions of a singular equation with logarithmic singularities in two classes of functions and construct formulae for the approximate solutions.},
author = {Paweł Wójcik, Michail A. Sheshko, Dorota Pylak, Paweł Karczmarek},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Singular integral equations; Cauchy-type kernel; multiplicative kernel; logarithmic singularities},
language = {eng},
number = {2},
pages = {null},
title = {Solution of a class of the first kind singular integral equation with multiplicative Cauchy kernel},
url = {http://eudml.org/doc/289765},
volume = {66},
year = {2012},
}
TY - JOUR
AU - Paweł Wójcik
AU - Michail A. Sheshko
AU - Dorota Pylak
AU - Paweł Karczmarek
TI - Solution of a class of the first kind singular integral equation with multiplicative Cauchy kernel
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2012
VL - 66
IS - 2
SP - null
AB - In the present paper, we give the exact solutions of a singular equation with logarithmic singularities in two classes of functions and construct formulae for the approximate solutions.
LA - eng
KW - Singular integral equations; Cauchy-type kernel; multiplicative kernel; logarithmic singularities
UR - http://eudml.org/doc/289765
ER -
References
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- Karczmarek, P., Pylak, D., Wójcik, P., Singular integral equations with multiplicative Cauchy-type kernels, Fasc. Math. 50 (2013), in press.
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- Muskhelishvili, N. I., Singular Integral Equations. Boundary Problems of Function Theory and Their Application to Mathematical Physics, Dover Publications, Inc., Mineola, New York, 2008.
- Pylak, D., Approximate solutions of a singular integral equation with Cauchy kernel in the quarter plane, Opuscula Math. 28 (2008), 179-194.
- Pylak, D., Sheshko, M. A., Inversion of singular integrals with Cauchy kernels in the case of an infinite integration domain, Differ. Equ. 41 (2005), 1297-1310.
- Sheshko, M., Singular Integral Equations with Cauchy and Hilbert Kernels and Theirs Approximated Solutions, TN KUL, Lublin, 2003.
- Sheshko, M. A., Sheshko, S. M., Inversion of singular integrals with multiplicative Cauchy kernel and infinite integration domain, Differ. Equ. 47 (2011), 534-546.
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