# Solution of Fredholm integrodifferential equation for an infinite elastic plate

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2004)

- Volume: 24, Issue: 1, page 5-11
- ISSN: 1509-9407

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topAlaa A. El-Bary. "Solution of Fredholm integrodifferential equation for an infinite elastic plate." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 24.1 (2004): 5-11. <http://eudml.org/doc/271494>.

@article{AlaaA2004,

abstract = {Many authors discussed the problem of an elastic infinite plate with a curvilinear hole, some of them considered this problem in z-plane and the others in the s-plane. They obtained an exact expression for Goursat's functions for the first and second fundamental problem. In this paper, we use the Cauchy integral method to obtain a solution to the first and second fundamental problem by using a new transformation. Some applications are investigated and also some special cases are discussed.},

author = {Alaa A. El-Bary},

journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},

keywords = {integrodifferential equation; Cauchy method; complex variable; infinite plate; curvilinear hole},

language = {eng},

number = {1},

pages = {5-11},

title = {Solution of Fredholm integrodifferential equation for an infinite elastic plate},

url = {http://eudml.org/doc/271494},

volume = {24},

year = {2004},

}

TY - JOUR

AU - Alaa A. El-Bary

TI - Solution of Fredholm integrodifferential equation for an infinite elastic plate

JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization

PY - 2004

VL - 24

IS - 1

SP - 5

EP - 11

AB - Many authors discussed the problem of an elastic infinite plate with a curvilinear hole, some of them considered this problem in z-plane and the others in the s-plane. They obtained an exact expression for Goursat's functions for the first and second fundamental problem. In this paper, we use the Cauchy integral method to obtain a solution to the first and second fundamental problem by using a new transformation. Some applications are investigated and also some special cases are discussed.

LA - eng

KW - integrodifferential equation; Cauchy method; complex variable; infinite plate; curvilinear hole

UR - http://eudml.org/doc/271494

ER -

## References

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