The Determination of Unknown Parameters in Analytic Systems of Ordinary Differential Equations

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Previous article Next article The Determination of Unknown Parameters in Analytic Systems of Ordinary Differential EquationsJ. R. Cannon and D. L. FilmerJ. R. Cannon and D. L. Filmerhttps://doi.org/10.1137/0115069PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] J. C. Burkill, Theory of Ordinary Differential Equations, University Mathematical Texts, Interscience, New York, 19624–8, 12–16 0117.30002 Google Scholar[2] Heinrich Behnke and , Friedrich Sommer, Theorie der analytischen Funktionen einer komplexen Veränderlichen., Zweite veränderte Auflage. Die Grundlehren der mathematischen Wissenschaften, Bd. 77, Springer-Verlag, Berlin, 1962, 128– MR0147622 0101.29502 CrossrefGoogle Scholar[3] J. R. Cannon, A Cauchy problem for the heat equation, Ann. Mat. Pura Appl. (4), 66 (1964), 155–165 MR0173089 0168.36002 CrossrefGoogle Scholar[4] T. Carleman, Fonctions Quasi Analytiques, Gauthier-Villars, Paris, 1926, 3–5 Google Scholar[5] Saul I. Gass, Linear programming: methods and applications, McGraw-Hill Book Co., Inc., New York, 1958xii+223 MR0096554 0081.36702 Google Scholar[6] Fritz John, Continuous dependence on data for solutions of partial differential equations with a presribed bound, Comm. Pure Appl. Math., 13 (1960), 551–585 MR0130456 0097.08101 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Well response test: III. The inverse problemInverse Problems, Vol. 9, No. 4 | 1 January 1999 Cross Ref Determination of the unknown coefficients in the Lamé-Clapeyron problem (or one-phase stefan problem)Advances in Applied Mathematics, Vol. 3, No. 1 | 1 Mar 1982 Cross Ref Remarks on Parameter IdentificationR. B. Guenther and R. SchmidtSIAM Journal on Applied Mathematics, Vol. 37, No. 3 | 12 July 2006AbstractPDF (380 KB)A numerical experiment on the determination of kinetic rate constants in the presence of diffusionThe Bulletin of Mathematical Biophysics, Vol. 34, No. 4 | 1 Dec 1972 Cross Ref Parameter identification for a class of multivariable non-linear processesInternational Journal of Systems Science, Vol. 1, No. 3 | 24 October 2007 Cross Ref Determination of an unknown forcing function in a hyperbolic equation from overspecified dataAnnali di Matematica Pura ed Applicata, Vol. 85, No. 1 | 1 Dec 1970 Cross Ref A numerical experiment on the determination of unknown parameters in an analytic system of ordinary differential equationsMathematical Biosciences, Vol. 3 | 1 Aug 1968 Cross Ref Determination of an Unknown Heat Source from Overspecified Boundary DataJ. R. CannonSIAM Journal on Numerical Analysis, Vol. 5, No. 2 | 3 August 2006AbstractPDF (652 KB) Volume 15, Issue 4| 1967SIAM Journal on Applied Mathematics767-1111 History Submitted:02 September 1966Published online:13 July 2006 InformationCopyright © 1967 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0115069Article page range:pp. 799-809ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics