{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T17:56:29Z","timestamp":1743011789837,"version":"3.40.3"},"publisher-location":"Boston, MA","reference-count":10,"publisher":"Springer US","isbn-type":[{"type":"print","value":"9780387747583"},{"type":"electronic","value":"9780387747590"}],"license":[{"start":{"date-parts":[[2008,1,1]],"date-time":"2008-01-01T00:00:00Z","timestamp":1199145600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2008,1,1]],"date-time":"2008-01-01T00:00:00Z","timestamp":1199145600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2008]]},"DOI":"10.1007\/978-0-387-74759-0_156","type":"book-chapter","created":{"date-parts":[[2008,8,25]],"date-time":"2008-08-25T11:03:12Z","timestamp":1219662192000},"page":"887-890","source":"Crossref","is-referenced-by-count":0,"title":["Eigenvalue Enclosures for Ordinary Differential Equations"],"prefix":"10.1007","author":[{"given":"Henning","family":"Behnke","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"156_CR1_156","doi-asserted-by":"publisher","first-page":"453","DOI":"10.1002\/zamm.19640441005","volume":"44","author":"J. Albrecht","year":"1964","unstructured":"Albrecht J (1964) Iterationsverfahren zur Berechnung der Eigenwerte der Mathieuschen Differentialgleichung. Z\u00a0Angew Math Mechanics 44:453\u2013458","journal-title":"Z. Angew. Math. Mechanics"},{"key":"156_CR2_156","doi-asserted-by":"crossref","first-page":"181","DOI":"10.4171\/zaa\/694","volume":"15","author":"H. Behnke","year":"1996","unstructured":"Behnke H (1996) A\u00a0numerically rigorous proof of curve veering in an eigenvalue problem for differential equations. Z Anal Anwend 15:181\u2013200","journal-title":"Z. Anal. Anwend."},{"key":"156_CR3_156","first-page":"277","volume-title":"Topics in validated computations","author":"H. Behnke","year":"1994","unstructured":"Behnke H, Goerisch F (1994) Inclusions for eigenvalues of selfadjoint problems. In: Herzberger J (ed) Topics in validated computations. Elsevier, Amsterdam, pp 277\u2013322"},{"key":"156_CR4_156","first-page":"429","volume":"29","author":"F. Goerisch","year":"1980","unstructured":"Goerisch F (1980) Eine Verallgemeinerung eines Verfahrens von N.J. Lehmann zur Einschlie\u00dfung von Eigenwerten. Wiss Z Techn Univ Dresden 29:429\u2013431","journal-title":"Wiss. Z. Techn. Univ. Dresden"},{"issue":"3","key":"156_CR5_156","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1002\/zamm.19850650302","volume":"65","author":"F. Goerisch","year":"1985","unstructured":"Goerisch F, Haunhorst H (1985) Eigenwertschranken f\u00fcr Eigenwertaufgaben mit partiellen Differentialgleichungen. Z Angew Math Mechanics 65(3):129\u2013135","journal-title":"Z. Angew. Math. Mechanics"},{"key":"156_CR6_156","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1002\/zamm.19502911005","volume":"29","author":"N.J. Lehmann","year":"1949","unstructured":"Lehmann NJ (1949) Beitr\u00e4ge zur L\u00f6sung linearer Eigenwertprobleme I. Z Angew Math Mechanics 29:341\u2013356","journal-title":"Z. Angew. Math. Mechanics"},{"key":"156_CR7_156","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1002\/zamm.19500300101","volume":"30","author":"N.J. Lehmann","year":"1950","unstructured":"Lehmann NJ (1950) Beitr\u00e4ge zur L\u00f6sung linearer Eigenwertprobleme II. Z Angew Math Mechanics 30:1\u201316","journal-title":"Z. Angew. Math. Mechanics"},{"key":"156_CR8_156","first-page":"547","volume":"25","author":"H.J. Maehly","year":"1952","unstructured":"Maehly HJ (1952) Ein neues Verfahren zur gen\u00e4herten Berechnung der Eigenwerte hermitescher Operatoren. Helv Phys Acta 25:547\u2013568","journal-title":"Helv. Phys. Acta"},{"key":"156_CR9_156","volume-title":"Methods of intermediate problems for eigenvalues","author":"A. Weinstein","year":"1972","unstructured":"Weinstein A, Stenger W (1972) Methods of intermediate problems for eigenvalues. Acad. Press, New York"},{"key":"156_CR10_156","doi-asserted-by":"crossref","first-page":"327","DOI":"10.4171\/zaa\/677","volume":"14","author":"S. Zimmermann","year":"1995","unstructured":"Zimmermann S, Mertins U (1995) Variational bounds to eigenvalues of self-adjoint problems with arbitrary spectrum. Z Anal Anwend 14:327\u2013345","journal-title":"Z. Anal. Anwend."}],"container-title":["Encyclopedia of Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-0-387-74759-0_156","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,11]],"date-time":"2024-07-11T09:51:14Z","timestamp":1720691474000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-0-387-74759-0_156"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008]]},"ISBN":["9780387747583","9780387747590"],"references-count":10,"URL":"https:\/\/doi.org\/10.1007\/978-0-387-74759-0_156","relation":{},"subject":[],"published":{"date-parts":[[2008]]}}}