# On a Hypersingular Equation of a Problem, for a Crack in Elastic Media

Fractional Calculus and Applied Analysis (2010)

- Volume: 13, Issue: 1, page 1-8
- ISSN: 1311-0454

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topGil, Alexey, and Samko, Stefan. "On a Hypersingular Equation of a Problem, for a Crack in Elastic Media." Fractional Calculus and Applied Analysis 13.1 (2010): 1-8. <http://eudml.org/doc/219569>.

@article{Gil2010,

abstract = {Mathematics Subject Classification 2010: 45DB05, 45E05, 78A45.We give a procedure to reduce a hypersingular integral equation, arising
in 2d diffraction problems on cracks in elastic media, to a Fredholm integral
equation of the second kind, to which it is easier and more effectively to
apply numerical methods than to the initial hypersingular equation.},

author = {Gil, Alexey, Samko, Stefan},

journal = {Fractional Calculus and Applied Analysis},

keywords = {Hypersingular Integrals; Diffraction; Cracks; Fredholm Integral Equations; Singular Integral Equations},

language = {eng},

number = {1},

pages = {1-8},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {On a Hypersingular Equation of a Problem, for a Crack in Elastic Media},

url = {http://eudml.org/doc/219569},

volume = {13},

year = {2010},

}

TY - JOUR

AU - Gil, Alexey

AU - Samko, Stefan

TI - On a Hypersingular Equation of a Problem, for a Crack in Elastic Media

JO - Fractional Calculus and Applied Analysis

PY - 2010

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 13

IS - 1

SP - 1

EP - 8

AB - Mathematics Subject Classification 2010: 45DB05, 45E05, 78A45.We give a procedure to reduce a hypersingular integral equation, arising
in 2d diffraction problems on cracks in elastic media, to a Fredholm integral
equation of the second kind, to which it is easier and more effectively to
apply numerical methods than to the initial hypersingular equation.

LA - eng

KW - Hypersingular Integrals; Diffraction; Cracks; Fredholm Integral Equations; Singular Integral Equations

UR - http://eudml.org/doc/219569

ER -

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