Integral equation with Macdonald kernel and its application to a system of contact problem

Applied Mathematics and Computation

Volumn 118, Issue 1, 2001, Pages 83-94

  Abdou, M A ^a  

^a Alexandria University   (Egypt)

Author keywords

Contact problem; Integral equation; Legender polynomial function; Macdonald function

Indexed keywords

EID: 0039741420     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0096-3003(99)00150-2     Document Type: Article

References (18)

1. C.D. Green, Integral Equation Methods, New York, 1969.
2. Constanda C. Integral equations of the first kind in plane elasticity. J. Quart. Appl. Math. LIII(4):1995;783-793.
3. F.G. Tricomi, Integral Equations, New York, 1985.
4. G. Bateman, A. Ergely, Higher Transcendental Functions, vol. 1, Moscow, 1963.
5. G. Bateman, A. Ergely, Higher Transcendental Functions, vol. 3, Moscow, 1967.
6. G. Bateman, A. Ergely, Higher Transcendental Function, vol. 1, Moscow, 1973.
7. G.Ya. Popov, Contact Problems for a Linearly Deformable Base, Kiev-Odessa, 1982.
8. I.C. Gradchtein, I.M. Rezuk, Tables of Integrals Sums and Products, Nauka Moscow, 1962.
9. Abdou M.A. Fredholm integral equation of the second kind with potential kernel. J. Comput. Appl. Math. 72:1996;161-167.
10. M.A. Abdou, Integral equation and contact problem for a system of impressing stamps, Appl. Math. Comp. 106 (1999) 141-148.
11. Mkhitarian S.M. Spectral relationships for the integral operators generated by a kernel in the form of a Weber-Sonin integral and their application to contact problems. Prkil. Math. Mech. 48:1984;67-74.
12. Aleksandrov V.M., Kovalenko E.V., Mkhitarian S.M. On a method of obtaining spectral relationships for integral operators of mixed problems of mechanics of continuous media. Prkil. Math. Mech. 46:1983;825-832.
13. V.M. Aleksandrov, Development of the Theory of Contact Problems in the USSR, Nauka, Moscow, 1976.
14. Prostenko V.S., Rvochev V.L. Plate in the form of an infinite strip on an elastic half space. Prkil. Math. Mech. 40(2):1976;273-280.
15. V.L. Rvachev, V.S. Prostenko, Contact Problems of the Theory of Elasticity for the Non-Classical Regions, Kiev, 1977.
16. Prostenko V.S. Bending of a system of strip plates lying on an elastic half-space. Prkil. Math. Mech. 41(4):1977;711-715.
17. V.M. Aleksandrov, E.V. Kovalenko, Problems in the Mechanics of Continuous Media with Mixed Boundary Conditions, Nauka, Moscow, 1986.
18. Onishkov O.V., Ya G., Popov G.Ya, Farshait P.G. On the features of contact forces for the bending of a plate with thin inclusions. Prkil. Math. Mech. 50:1986;2.