Explicit $\varepsilon $ and $\delta $ for the Implicit Function Theorem

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Previous article Next article Explicit $\varepsilon $ and $\delta $ for the Implicit Function TheoremJ. M. HoltzmanJ. M. Holtzmanhttps://doi.org/10.1137/1012051PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] L. V. Kantorovich and , G. P. Akilov, Functional analysis in normed spaces, Translated from the Russian by D. E. Brown. Edited by A. P. Robertson. International Series of Monographs in Pure and Applied Mathematics, Vol. 46, The Macmillan Co., New York, 1964xiii+771 MR0213845 0127.06104 Google Scholar[2] Hans H. Ehrmann, On implicit function theorems and the existence of solutions of non-linear equations, Enseignement Math. (2), 9 (1963), 129–176 MR0156175 0127.08004 Google Scholar[3] J. Dieudonné, Foundations of modern analysis, Pure and Applied Mathematics, Vol. X, Academic Press, New York, 1960xiv+361 MR0120319 0100.04201 Google Scholar[4] J. M. Holtzman, Sensitivity analysis and implicit functions, Proc. Sixth Annual Allerton Conf. on Circuit and System Theory (Monticello, Ill., 1968), Univ. of Illinois, Urbana, Ill., 1968, 589–597 MR0265015 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails On global implicit function theoremJournal of Mathematical Analysis and Applications, Vol. 456, No. 2 Cross Ref Nonautonomous bifurcation of bounded solutions II: A Shovel-Bifurcation patternDiscrete & Continuous Dynamical Systems - A, Vol. 31, No. 3 Cross Ref Robustness of hyperbolic solutions under parametric perturbationsJournal of Difference Equations and Applications, Vol. 15, No. 8-9 Cross Ref On the observability of non-linear systems with applications to non-linear regression analysisInformation Sciences, Vol. 4, No. 2 Cross Ref Volume 12, Issue 2| 1970SIAM Review History Submitted:18 June 1968Published online:18 July 2006 InformationCopyright © 1970 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1012051Article page range:pp. 284-286ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics