Fredholm-Volterra integral equation and generalized potential kernel

Applied Mathematics and Computation

Volumn 131, Issue 1, 2002, Pages 81-94

  Abdou, M A ^a  

^a Alexandria University   (Egypt)

Author keywords

Carleman kernel; Fredholm Volterra integral equations; Generalized potential kernel; Jacobi polynomials; Logarithmic kernel

Indexed keywords

EID: 0037056198     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(01)00128-X     Document Type: Article

References (16)

1. N.K. Arulyunyan A plane contact problem of the theory of creep theory Appl. Math. Mech. 23 5 1959 901 924
2. S.M. Mkhitaryan M.A. Abdou On various method for solution of the Carleman integral equation Dakl. Acad. Nauk. Arm SSR 89 3 1990 125 129
3. S.M. Mkhitaryan M.A. Abdou On different method of solution of the integral equation for the planer contact problem of elasticity Dakl. Acad. Nauk. Arm. SSR 89 2 1990 659 674
4. M.G. Krein, On a method for the effective solution of the inverse boundary problems, Dakl. Acad. Nauk. USSR 94 (6) (1954)
5. E.V. Kovalenko Some approximate methods of solving integral equations of mixed problems Appl. Math. Mech. 53 1989 85 92
6. M.A. Abdou Fredholm integral equation of the second kind with potential kernel J. Comput. Appl. Math. 72 1 1996 161 167
7. M.A. Abdou Fredholm integral equation with potential kernel and its structure resolvent J. Appl. Math. Comput. 107 2000 169 180
8. M.A. Abdou Integral equation and contact problem for a system of impressing stamps Appl. Math. Comput. 106 1999 141 148
9. M.A. Abdou, Spectral relationships for integral operators in contact problem of impressing stamps, J. Appl. Math. Comput., 2000 (accepted)
10. M.H. Fahmy M.A. Abdou M.A. Darwish Integral equations and potential theoretic type integrals of orthogonal polynomials Comput. Appl. Math. 106 1999 245 254
11. E.K. Atkinson A Survey of Numerical Method for the Solution of Fredholm Integral Equation of the Second Kind 1976 SIAM Philadelphia, PA
12. G. Bateman, A. Ergeyli, Higher Transendental Functions, vol. II, McGraw-Hill, New York, 1985 (reprint)
13. I.S. Gradshtein I.M. Ryzhik Tables of Integrals, Series and Products fifth ed. 1994 Academic Press New York
14. C.D. Green Integral Equation Methods 1969 Barnes and Noble New York
15. H. Hochstadt Integral Equations 1973 Wiley New York
16. G.Ya. Popov Contact Problems for a Linearly Deformable Base 1982 Odessa Kiev