Solution of a class of singular integral equations
Authors:
T. Lundgren and D. Chiang
Journal:
Quart. Appl. Math. 24 (1967), 303-313
MSC:
Primary 45.15; Secondary 44.00
DOI:
https://doi.org/10.1090/qam/215029
MathSciNet review:
215029
Full-text PDF Free Access
References |
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Additional Information
- Torsten Carleman, Über die Abelsche Integralgleichung mit konstanten Integrationsgrenzen, Math. Z. 15 (1922), no. 1, 111–120 (German). MR 1544560, DOI https://doi.org/10.1007/BF01494386
- Philip M. Morse and Herman Feshbach, Methods of theoretical physics. 2 volumes, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1953. MR 0059774
- N. I. Muskhelishvili, Singular integral equations, Wolters-Noordhoff Publishing, Groningen, 1972. Boundary problems of functions theory and their applications to mathematical physics; Revised translation from the Russian, edited by J. R. M. Radok; Reprinted. MR 0355494
D. Chiang and T. Lundgren. To be published
B. Van der Pol and H. Bremmer, Operational calculus, Cambridge Univ. Press, New York, 1964
A. Erdelyi et al, Tables of integral transforms, Vol. 1 and Vol. 2. McGraw Hill, New York, 1954
- S. G. Mikhlin, Integral equations and their applications to certain problems in mechanics, mathematical physics and technology, Pergamon Press, New York-London-Paris-Los Angeles, 1957. Translated from the Russian by A. H. Armstrong. MR 0087877
- G. A. Grinberg, On steady flow of a conducting fluid in a rectangular tube with two nonconducting walls, and two conducting ones parallel to an external magnetic field, J. Appl. Math. Mech. 25 (1961), 1536–1550. MR 0137447, DOI https://doi.org/10.1016/0021-8928%2862%2990133-8
N. Akhiezer and V. Shcherbina. Zapiski matemat. otd. fiz.-matemat. fakul’teta Khar’kov. gos. un-ta im. A. M. Gor’kogo i Khar’kov. matemat. Obohch.-va, Vol. 25, Ser. 4 (1957)
D. Chiang, Ph.D. Dissertation, University of Minnesota, 1965
T. Carleman, Math. Z. 15, (1922)
P. Morse and H. Feshbach, Methods of theoretical physics, Vol. 1, McGraw-Hill, New York, 1953
N. Muskhelishvili, Singular integral equations, Noordhoff, 1953
D. Chiang and T. Lundgren. To be published
B. Van der Pol and H. Bremmer, Operational calculus, Cambridge Univ. Press, New York, 1964
A. Erdelyi et al, Tables of integral transforms, Vol. 1 and Vol. 2. McGraw Hill, New York, 1954
S. Mikhlin, Integal equations, Pergamon Press, New York, 1957
G. Grinberg. P. M. M. 25 6, 1024-1034 (1961)
N. Akhiezer and V. Shcherbina. Zapiski matemat. otd. fiz.-matemat. fakul’teta Khar’kov. gos. un-ta im. A. M. Gor’kogo i Khar’kov. matemat. Obohch.-va, Vol. 25, Ser. 4 (1957)
D. Chiang, Ph.D. Dissertation, University of Minnesota, 1965
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Article copyright:
© Copyright 1967
American Mathematical Society