Perturbation of Eigenvalues—with an Engineering Application
S. Birnbaum · SIAM Review · 1965
Previous article Next article Perturbation of Eigenvalues—with an Engineering ApplicationS. BirnbaumS. Birnbaumhttps://doi.org/10.1137/1007002PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Franz Rellich, Störungstheorie der Spektralzerlegung, Math. Ann., 113 (1937), 600–619, I 10.1007/BF01571652 MR1513109 0016.06301 CrossrefGoogle Scholar[2] Franz Rellich, Störungstheorie der Spektralzerlegung, Math. Ann., 113 (1937), 677–685, II 10.1007/BF01571658 MR1513115 0016.06301 CrossrefGoogle Scholar[3] Franz Rellich, Störungstheorie der Spektralzerlegung, Math. Ann., 116 (1939), 555–570, III 10.1007/BF01597374 MR1513244 0020.30601 CrossrefGoogle Scholar[4] Franz Rellich, Störungstheorie der Spektralzerlegung. IV, Math. Ann., 117 (1940), 356–382 10.1007/BF01450023 MR0002715 (2,105b) 0023.13503 CrossrefGoogle Scholar[5] Franz Rellich, Störungstheorie der Spektralzerlegung. V, Math. Ann., 118 (1942), 462–484 10.1007/BF01487382 MR0010791 (6,71e) 0027.22702 CrossrefGoogle Scholar[6] Béla de Sz. Nagy, Perturbations des transformations autoadjointes dans l'espace de Hilbert, Comment. Math. Helv., 19 (1947), 347–366 MR0020722 (8,589a) CrossrefGoogle Scholar[7] Béla Sz.-Nagy, Perturbations des transformations linéaires fermées, Acta Sci. Math. Szeged, 14 (1951), 125–137 MR0047254 (13,849d) 0045.21601 Google Scholar[8] Tosio Kato, On the perturbation theory of closed linear operators, J. Math. Soc. Japan, 4 (1952), 323–337 MR0054853 (14,990a) 0048.35402 CrossrefGoogle Scholar[9] František Wolf, Analytic perturbation of operators in Banach spaces, Math. Ann., 124 (1952), 317–333 10.1007/BF01343573 MR0050167 (14,288c) 0046.12402 CrossrefGoogle Scholar[10] S. Timoshenko, Vibration Problems in Engineering, D. Van Nostrand, New York, 1955 Google Scholar[11] Angus E. Taylor, Introduction to functional analysis, John Wiley & Sons Inc., New York, 1958xvi+423 MR0098966 (20:5411) 0081.10202 Google Scholar[12] N. I. Achieser and , I. M. Glasmann, Theorie der Linearen Operatoren im Hilbertraum, Akademie-Verlag, Berlin, 1960, (A translation from Russian; an English translation is also available) Google Scholar[13] M. A. Neumark, Lineare Differentialoperatoren, Akademie-Verlag, Berlin, 1960xii+394, (A translation from Russian) MR0216049 (35:6884) 0092.07902 Google Scholar[14] Nelson Dunford and , Jacob T. Schwartz, Linear Operators. I. General Theory, With the assistance of W. G. Bade and R. G. Bartle. Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York, 1958xiv+858 MR0117523 (22:8302) 0084.10402 Google Scholar[15] Günter Porath, Störungstheorie für lineare Transformationen im Banachschen Raum, Wiss. Z. Techn. Hochsch. Dresden, 9 (1959/1960), 1121–1125 MR0131180 (24:A1033) 0094.30701 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Free vibrations of elastic plate with random properties—The eigenvalue problemJournal of Sound and Vibration, Vol. 22, No. 1 | 1 May 1972 Cross Ref Perturbation of eigenvalues with an engineering application—A supplementJournal of Mathematical Analysis and Applications, Vol. 28, No. 3 | 1 Dec 1969 Cross Ref Perturbation of eigenvalues with an engineering applicationJournal of Mathematical Analysis and Applications, Vol. 27, No. 1 | 1 Jul 1969 Cross Ref Volume 7, Issue 1| 1965SIAM Review History Submitted:12 February 1964Published online:01 August 2006 InformationCopyright © 1965 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1007002Article page range:pp. 13-30ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics