Stability Criteria and the Real Roots of a Transcendental Equation

Previous article Next article Stability Criteria and the Real Roots of a Transcendental EquationE. M. WrightE. M. Wrighthttps://doi.org/10.1137/0109014PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Richard Bellman, On the existence and boundedness of solutions of non-linear differential-difference equations, Ann. of Math. (2), 50 (1949), 347–355 MR0030106 0036.33802 CrossrefISIGoogle Scholar[2] Richard Bellman, A survey of the mathematical theory of time-lag, retarded control, and hereditary processes, The Rand Corporation, Santa Monica, Calif., 1954xi+107 MR0062327 Google Scholar[3] A. Hartree, D. R. Callender and , Porter, A Time lag in a control system, Phil. Traps. Roy. Soc. London A, 235 (1936), 415–444 0014.32302 CrossrefGoogle Scholar[4] V. N. Capyrin, On the problem of Hurwitz for transcendental equations, Akad. Nauk SSSR. Prikl. Mat. Meh., 12 (1948), 301–328 MR0027053 0030.19402 Google Scholar[5] Ya. Z. 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Wright, Solution of the equation zez=a, Proc. Roy. Soc. Edinburgh Sect. A, 65 (1959), 193–203 (1959). (1 insert) MR0134469 0093.27204 Google Scholar[28] E. M. Wright, Solution of the equation (pz+q)ez=rz+s, Bull. Amer. Math. Soc., 66 (1960), 277–281 MR0123118 0100.06802 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Roots of a Transcendental Equation Associated with a System of Differential-Difference EquationsV. W. Noonburg28 July 2006 | SIAM Journal on Applied Mathematics, Vol. 17, No. 1AbstractPDF (551 KB) Volume 9, Issue 1| 1961Journal of the Society for Industrial and Applied Mathematics History Submitted:08 January 1960Published online:10 July 2006 InformationCopyright © 1961 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0109014Article page range:pp. 136-148ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics