{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,20]],"date-time":"2025-09-20T20:59:24Z","timestamp":1758401964636},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2016,11,21]],"date-time":"2016-11-21T00:00:00Z","timestamp":1479686400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Results Math"],"published-print":{"date-parts":[[2017,9]]},"DOI":"10.1007\/s00025-016-0626-8","type":"journal-article","created":{"date-parts":[[2016,11,21]],"date-time":"2016-11-21T08:54:57Z","timestamp":1479718497000},"page":"125-143","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Nonuniform Spectrum on the Half Line and Perturbations"],"prefix":"10.1007","volume":"72","author":[{"given":"Luis","family":"Barreira","sequence":"first","affiliation":[]},{"given":"Davor","family":"Dragi\u010devi\u0107","sequence":"additional","affiliation":[]},{"given":"Claudia","family":"Valls","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,11,21]]},"reference":[{"key":"626_CR1","doi-asserted-by":"crossref","first-page":"895","DOI":"10.1080\/10236190108808310","volume":"7","author":"B Aulbach","year":"2001","unstructured":"Aulbach, B., Siegmund, S.: The dichotomy spectrum for noninvertible systems of linear difference equations. J. Differ. Equ. Appl. 7, 895\u2013913 (2001)","journal-title":"J. Differ. Equ. Appl."},{"key":"626_CR2","unstructured":"Aulbach, B., Siegmund, S.: A spectral theory for nonautonomous difference equations, In: New Trends in Difference Equations (Temuco, 2000), pp. 45\u201355. Taylor & Francis (2002)"},{"key":"626_CR3","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781107326026","volume-title":"Nonuniform Hyperbolicity, Encyclopedia of Mathematics and its Applications","author":"L Barreira","year":"2007","unstructured":"Barreira, L., Pesin, Y.: Nonuniform Hyperbolicity, Encyclopedia of Mathematics and its Applications, vol. 115. Cambridge University Press, Cambridge (2007)"},{"key":"626_CR4","doi-asserted-by":"crossref","first-page":"675","DOI":"10.1016\/j.jde.2006.09.021","volume":"232","author":"L Barreira","year":"2007","unstructured":"Barreira, L., Valls, C.: Stability theory and Lyapunov regularity. J. Differ. Equ. 232, 675\u2013701 (2007)","journal-title":"J. Differ. Equ."},{"key":"626_CR5","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1016\/j.jde.2014.09.012","volume":"258","author":"L Barreira","year":"2015","unstructured":"Barreira, L., Valls, C.: A Perron-type theorem for nonautonomous differential equations. J. Differ. Equ. 258, 339\u2013361 (2015)","journal-title":"J. Differ. Equ."},{"key":"626_CR6","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1090\/S0002-9947-1964-0156122-9","volume":"110","author":"C Coffman","year":"1964","unstructured":"Coffman, C.: Asymptotic behavior of solutions of ordinary difference equations. Trans. Am. Math. Soc. 110, 22\u201351 (1964)","journal-title":"Trans. Am. Math. Soc."},{"key":"626_CR7","volume-title":"Stability and Asymptotic Behavior of Differential Equations","author":"W Coppel","year":"1965","unstructured":"Coppel, W.: Stability and Asymptotic Behavior of Differential Equations. D. C. Heath and Co., Lexington (1965)"},{"key":"626_CR8","doi-asserted-by":"crossref","first-page":"45","DOI":"10.2307\/2372422","volume":"77","author":"P Hartman","year":"1955","unstructured":"Hartman, P., Wintner, A.: Asymptotic integrations of linear differential equations. Am. J. Math. 77, 45\u201386 (1955)","journal-title":"Am. J. Math."},{"key":"626_CR9","doi-asserted-by":"crossref","unstructured":"Lettenmeyer, F.: \u00dcber das asymptotische Verhalten der L\u00f6sungen von Differentialgleichungen und Differentialgleichungssystemen, Verlag d. Bayr. Akad. d. Wiss., pp. 201\u2013252 (1929)","DOI":"10.1515\/9783486763522"},{"key":"626_CR10","doi-asserted-by":"crossref","first-page":"3821","DOI":"10.1016\/j.na.2007.10.017","volume":"69","author":"K Matsui","year":"2008","unstructured":"Matsui, K., Matsunaga, H., Murakami, S.: Perron type theorem for functional differential equations with infinite delay in a Banach space. Nonlinear Anal. 69, 3821\u20133837 (2008)","journal-title":"Nonlinear Anal."},{"key":"626_CR11","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1007\/BF01180524","volume":"29","author":"O Perron","year":"1929","unstructured":"Perron, O.: \u00dcber Stabilit\u00e4t und asymptotisches Verhalten der Integrale von Differentialgleichungssystemen. Math. Z. 29, 129\u2013160 (1929)","journal-title":"Math. Z."},{"key":"626_CR12","doi-asserted-by":"crossref","first-page":"1140","DOI":"10.1016\/j.jmaa.2005.09.081","volume":"322","author":"M Pituk","year":"2006","unstructured":"Pituk, M.: Asymptotic behavior and oscillation of functional differential equations. J. Math. Anal. Appl. 322, 1140\u20131158 (2006)","journal-title":"J. Math. Anal. Appl."},{"key":"626_CR13","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1016\/j.jmaa.2005.04.027","volume":"316","author":"M Pituk","year":"2006","unstructured":"Pituk, M.: A Perron type theorem for functional differential equations. J. Math. Anal. Appl. 316, 24\u201341 (2006)","journal-title":"J. Math. Anal. Appl."},{"key":"626_CR14","doi-asserted-by":"crossref","first-page":"320","DOI":"10.1016\/0022-0396(78)90057-8","volume":"27","author":"R Sacker","year":"1978","unstructured":"Sacker, R., Sell, G.: A spectral theory for linear differential systems. J. Differ. Equ. 27, 320\u2013358 (1978)","journal-title":"J. Differ. Equ."},{"key":"626_CR15","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1023\/A:1012919512399","volume":"14","author":"S Siegmund","year":"2002","unstructured":"Siegmund, S.: Dichotomy spectrum for nonautonomous differential equations. J. Dyn. Differ. Equ. 14, 243\u2013258 (2002)","journal-title":"J. Dyn. Differ. Equ."}],"container-title":["Results in Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00025-016-0626-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00025-016-0626-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00025-016-0626-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,27]],"date-time":"2020-09-27T11:54:53Z","timestamp":1601207693000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00025-016-0626-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,11,21]]},"references-count":15,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2017,9]]}},"alternative-id":["626"],"URL":"https:\/\/doi.org\/10.1007\/s00025-016-0626-8","relation":{},"ISSN":["1422-6383","1420-9012"],"issn-type":[{"value":"1422-6383","type":"print"},{"value":"1420-9012","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,11,21]]}}}