Coupled pairs of dual integral equations
Author:
L. M. Keer
Journal:
Quart. Appl. Math. 25 (1968), 453-457
MSC:
Primary 45.20
DOI:
https://doi.org/10.1090/qam/226328
MathSciNet review:
226328
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Abstract: Using the operator techniques as introduced by Erdélyi and Sneddon, solutions are obtained for two simultaneous pairs of dual integral equations of the Titchmarsh type. It is found that use of these operators exposes the important features of analysis and allows the solutions to be expressed in a compact form. The methods of Copson and Lowengrub and Sneddon form the basis for the solutions derived.
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- R. A. Westmann, Asymmetric mixed boundary-value problems of the elastic half-space, Trans. ASME Ser. E. J. Appl. Mech. 32 (1965), 411–417. MR 184483
- R. A. Westmann, Simultaneous pairs of dual integral equations, SIAM Rev. 7 (1965), 341–348. MR 180819, DOI https://doi.org/10.1137/1007068
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- M. Lowengrub and I. N. Sneddon, The solution of a pair of dual integral equations, Proc. Glasgow Math. Assoc. 6 (1963), 14–18 (1963). MR 149223
- F. Erdogan and L. Y. Bahar, On the solution of simultaneous dual integral equations, J. Soc. Indust. Appl. Math. 12 (1964), 666–675. MR 174945
- C. J. Tranter, Integral transforms in mathematical physics, Methuen and Co. Ltd., London; John Wiley and Sons, Inc., New York, 1956. 2nd ed. MR 0079681
- A. Erdélyi and I. N. Sneddon, Fractional integration and dual integral equations, Canadian J. Math. 14 (1962), 685–693. MR 142997, DOI https://doi.org/10.4153/CJM-1962-058-6
I. N. Sneddon, Fractional integration and dual integral equations, North Carolina State College, PSR-6, 1962
I. N. Sneddon, Mixed boundary value problems in potential theory, North-Holland, Amsterdam, 1966
R. A. Westmann, Asymmetric mixed boundary value problems of the elastic half-space, J. Appl. Mech. 32, 411–417 (1965)
R. A. Westmann, Simultaneous pairs of dual integral equations, SIAM Review (7) 3, 341–348 (1965)
E. T. Copson, On certain dual integral equations, Proc. Glasgow Math. Assoc. 5, 19–24 (1961)
M. Lowengrub and I. N. Sneddon, The solution of a pair of dual integral equations, Proc. Glasgow Math. Assoc. 6, 14–18 (1963)
F. Erdogan and L. Y. Bahar, On the solution of simultaneous dual integral equations, J. Soc. Indust. Appl. Math. 12, 666–675 (1964)
C. J. Tranter, Integral transforms in mathematical physics, Methuen’s Monographs on Physical Subjects, Wiley, New York, 1956
A. Erdélyi and I. N. Sneddon, Fractional integration and dual integral equations, Canad. J. Math. 14, 685–693 (1962)
I. N. Sneddon, Fractional integration and dual integral equations, North Carolina State College, PSR-6, 1962
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Article copyright:
© Copyright 1968
American Mathematical Society
