On the Solution of Simultaneous Dual Integral Equations
F. Erdoğan, Leon Y. Bahar · Journal of the Society for Industrial and Applied Mathematics · 1964
Previous article Next article On the Solution of Simultaneous Dual Integral EquationsF. Erdogan and L. Y. BaharF. Erdogan and L. Y. Baharhttps://doi.org/10.1137/0112057PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals, Clarendon Press, Oxford, 1937 0017.40404 Google Scholar[2] I. W. Busbridge, Dual integral equations, Proc. London Math. Soc., 44 (1938), 115–129 0019.02801 CrossrefGoogle Scholar[3] Ian N. Sneddon, Fourier Transforms, McGraw-Hill Book Co., Inc., New York, Toronto, London, 1951xii+542 MR0041963 0038.26801 Google Scholar[4] C. J. Tranter, Integral transforms in mathematical physics, Methuen and Co. Ltd., London, 1956ix+133 MR0079681 0074.31901 Google Scholar[5] I. N. Sneddon, Mixed Boundary Value Problems in Mathematical Physics, Mimeographed Lecture Notes, Duke University, Durham, North Carolina, 1959 Google Scholar[6] J. C. Cooke, A solution of Tranter's dual integral equations problem, Quart. J. Mech. Appl. Math., 9 (1956), 103–110 MR0076996 0070.10401 CrossrefGoogle Scholar[7] E. T. Copson, On certain dual integral equations, Proc. Glasgow Math. Assoc., 5 (1961), 21–24 (1961) MR0199660 0158.12901 CrossrefGoogle Scholar[8] N. N. Lebedev and , Ia. S. Uflian, Axisymmetric contact problem for an elastic layer, J. Appl. Math. Mech., 22 (1958), 442–450 (320–326 Prikl. Mat. Meh.), (translation of PMM) 10.1016/0021-8928(58)90059-5 MR0102212 0088.17303 CrossrefGoogle Scholar[9] B. Noble, The approximate solution of dual integral equations by variational methods, Proc. Edinburgh Math. Soc., 11 (1958/1959), 115–126 MR0105601 0086.11205 CrossrefGoogle Scholar[10] B. Noble, Methods based on the Wiener-Hopf technique for the solution of partial differential equations, International Series of Monographs on Pure and Applied Mathematics. Vol. 7, Pergamon Press, New York, 1958x+246 MR0102719 0082.32101 Google Scholar[11] A. Heins, A note on a pair of dual integral equations, Bull. American Math. Soc., 56 (1950), 172– ISIGoogle Scholar[12] I. N. Sneddon, Lectures on fractional integration and dual integral equations, 1962, Appl. Math. Res. Group Report, unpublished, North Carolina State College, Raleigh, North Carolina Google Scholar[13] W. Magnus and , F. Oberhettinger, Formulas and Theorems for the Functions of Mathematical Physics, Chelsea, New York, 1954 Google Scholar[14] F. Riesz, Les Systèmes d'équations Linéaires a une Infinité d'Inconnues, Gauthier-Villars, Paris, 1913 Google Scholar[15] L. V. Kantorovich and , V. I. Krylov, Approximate methods of higher analysis, Translated from the 3rd Russian edition by C. D. Benster, Interscience Publishers, Inc., New York, 1958xv+681 MR0106537 0083.35301 Google Scholar[16] Richard G. Cooke, Infinite Matrices and Sequence Spaces, Macmillan & Co., Ltd., London, 1950xiii+347 MR0040451 0040.02501 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Simultaneous Pairs of Dual Integral EquationsR. A. Westmann18 July 2006 | SIAM Review, Vol. 7, No. 3AbstractPDF (527 KB) Volume 12, Issue 3| 1964Journal of the Society for Industrial and Applied Mathematics History Submitted:22 August 1963Published online:13 July 2006 InformationCopyright © 1964 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0112057Article page range:pp. 666-675ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics