{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T13:06:15Z","timestamp":1773839175871,"version":"3.50.1"},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2017,2,8]],"date-time":"2017-02-08T00:00:00Z","timestamp":1486512000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2017,2,8]],"date-time":"2017-02-08T00:00:00Z","timestamp":1486512000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"FCT\/Portugal","award":["UID\/MAT\/04459\/2013"],"award-info":[{"award-number":["UID\/MAT\/04459\/2013"]}]},{"DOI":"10.13039\/501100000923","name":"Australian Research Council","doi-asserted-by":"publisher","award":["Discovery Project DP150100017"],"award-info":[{"award-number":["Discovery Project DP150100017"]}],"id":[{"id":"10.13039\/501100000923","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004488","name":"Croatian Science Foundation","doi-asserted-by":"crossref","award":["project IP-2014-09-2285"],"award-info":[{"award-number":["project IP-2014-09-2285"]}],"id":[{"id":"10.13039\/501100004488","id-type":"DOI","asserted-by":"crossref"}]},{"name":"University of Rijeka","award":["research grant 13.14.1.2.02"],"award-info":[{"award-number":["research grant 13.14.1.2.02"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Aequat. Math."],"published-print":{"date-parts":[[2017,4]]},"DOI":"10.1007\/s00010-017-0468-9","type":"journal-article","created":{"date-parts":[[2017,2,8]],"date-time":"2017-02-08T06:04:23Z","timestamp":1486533863000},"page":"301-316","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Nonuniform exponential dichotomies and Fredholm operators for flows"],"prefix":"10.1007","volume":"91","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":[[2017,2,8]]},"reference":[{"key":"468_CR1","doi-asserted-by":"publisher","first-page":"2817","DOI":"10.3934\/dcds.2015.35.2817","volume":"35","author":"L Barreira","year":"2015","unstructured":"Barreira, L., Dragi\u010devi\u0107, D., Valls, C.: From one-sided dichotomies to two-sided dichotomies. Discrete Contin. Dyn. Syst. 35, 2817\u20132844 (2015)","journal-title":"Discrete Contin. Dyn. Syst."},{"key":"468_CR2","unstructured":"Barreira, L., Dragi\u010devi\u0107, D., Valls, C.: Admissibility on the half line for evolution families. J. Anal. Math. (to appear)"},{"key":"468_CR3","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781107326026","volume-title":"Nonuniform Hyperbolicity, Encyclopedia of Mathematics and its Applications 115","author":"L Barreira","year":"2007","unstructured":"Barreira, L., Pesin, Y.: Nonuniform Hyperbolicity, Encyclopedia of Mathematics and its Applications 115. Cambridge University Press, Cambridge (2007)"},{"key":"468_CR4","series-title":"Lecture Notes in Mathematics 1926","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-74775-8","volume-title":"Stability of Nonautonomous Differential Equations","author":"L Barreira","year":"2008","unstructured":"Barreira, L., Valls, C.: Stability of Nonautonomous Differential Equations. Lecture Notes in Mathematics 1926. Springer, Berlin (2008)"},{"key":"468_CR5","unstructured":"Barreira, L., Valls, C.: Strong exponential dichotomies via bounded solutions, preprint"},{"key":"468_CR6","doi-asserted-by":"publisher","first-page":"1277","DOI":"10.1016\/0362-546X(86)90066-0","volume":"10","author":"C Bl\u00e1zquez","year":"1986","unstructured":"Bl\u00e1zquez, C.: Transverse homoclinic orbits in periodically perturbed parabolic equations. Nonlinear Anal. 10, 1277\u20131291 (1986)","journal-title":"Nonlinear Anal."},{"key":"468_CR7","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1006\/jdeq.1996.0125","volume":"129","author":"S-N Chow","year":"1996","unstructured":"Chow, S.-N., Leiva, H.: Unbounded perturbation of the exponential dichotomy for evolution equations. J. Differ. Equ. 129, 509\u2013531 (1996)","journal-title":"J. Differ. Equ."},{"key":"468_CR8","doi-asserted-by":"publisher","first-page":"500","DOI":"10.1016\/0022-0396(67)90014-9","volume":"3","author":"W Coppel","year":"1967","unstructured":"Coppel, W.: Dichotomies and reducibility. J. Differ. Equ. 3, 500\u2013521 (1967)","journal-title":"J. Differ. Equ."},{"key":"468_CR9","unstructured":"Dalec\u2019ki\u012d, J., Kre\u012dn, M.: Stability of Solutions of Differential Equations in Banach Space. Translations of Mathematical Monographs 43. American Mathematical Society, Providence, RI (1974)"},{"key":"468_CR10","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1016\/0022-0396(86)90048-3","volume":"63","author":"X-B Lin","year":"1986","unstructured":"Lin, X.-B.: Exponential dichotomies and homoclinic orbits in functional-differential equations. J. Differ. Equ. 63, 227\u2013254 (1986)","journal-title":"J. Differ. Equ."},{"key":"468_CR11","doi-asserted-by":"publisher","first-page":"517","DOI":"10.2307\/1969871","volume":"67","author":"J Massera","year":"1958","unstructured":"Massera, J., Sch\u00e4ffer, J.: Linear differential equations and functional analysis. I. Ann. Math. (2) 67, 517\u2013573 (1958)","journal-title":"Ann. Math. (2)"},{"key":"468_CR12","doi-asserted-by":"publisher","first-page":"559","DOI":"10.1016\/S0362-546X(97)00423-9","volume":"31","author":"R Naulin","year":"1998","unstructured":"Naulin, R., Pinto, M.: Admissible perturbations of exponential dichotomy roughness. Nonlinear Anal. 31, 559\u2013571 (1998)","journal-title":"Nonlinear Anal."},{"key":"468_CR13","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1016\/0022-0396(84)90082-2","volume":"55","author":"K Palmer","year":"1984","unstructured":"Palmer, K.: Exponential dichotomies and transversal homoclinic points. J. Differ. Equ. 55, 225\u2013256 (1984)","journal-title":"J. Differ. Equ."},{"key":"468_CR14","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1090\/S0002-9939-1988-0958058-1","volume":"104","author":"K Palmer","year":"1988","unstructured":"Palmer, K.: Exponential dichotomies and Fredholm operators. Proc. Am. Math. Soc. 104, 149\u2013156 (1988)","journal-title":"Proc. Am. Math. Soc."},{"key":"468_CR15","doi-asserted-by":"publisher","first-page":"471","DOI":"10.1023\/A:1021913903923","volume":"11","author":"V Pliss","year":"1999","unstructured":"Pliss, V., Sell, G.: Robustness of exponential dichotomies in infinite-dimensional dynamical systems. J. Dyn. Differ. Equ. 11, 471\u2013513 (1999)","journal-title":"J. Dyn. Differ. Equ."},{"key":"468_CR16","doi-asserted-by":"publisher","first-page":"436","DOI":"10.1016\/j.jmaa.2005.04.011","volume":"314","author":"L Popescu","year":"2006","unstructured":"Popescu, L.: Exponential dichotomy roughness on Banach spaces. J. Math. Anal. Appl. 314, 436\u2013454 (2006)","journal-title":"J. Math. Anal. Appl."},{"key":"468_CR17","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1006\/jdeq.1995.1091","volume":"119","author":"H Rodrigues","year":"1995","unstructured":"Rodrigues, H., Ruas-Filho, J.: Evolution equations: dichotomies and the Fredholm alternative for bounded solutions. J. Differ. Equ. 119, 263\u2013283 (1995)","journal-title":"J. Differ. Equ."},{"key":"468_CR18","doi-asserted-by":"publisher","first-page":"403","DOI":"10.1016\/0022-0396(87)90159-8","volume":"70","author":"H Rodrigues","year":"1987","unstructured":"Rodrigues, H., Silveira, M.: Properties of bounded solutions of linear and nonlinear evolution equations: homoclinics of a beam equation. J. Differ. Equ. 70, 403\u2013440 (1987)","journal-title":"J. Differ. Equ."},{"key":"468_CR19","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1006\/jdeq.1994.1113","volume":"113","author":"R Sacker","year":"1994","unstructured":"Sacker, R., Sell, G.: Dichotomies for linear evolutionary equations in Banach spaces. J. Differ. Equ. 113, 17\u201367 (1994)","journal-title":"J. Differ. Equ."},{"key":"468_CR20","doi-asserted-by":"publisher","first-page":"466","DOI":"10.1006\/jmaa.1997.5662","volume":"216","author":"W Zeng","year":"1997","unstructured":"Zeng, W.: Transversality of homoclinic orbits and exponential dichotomies for parabolic equations. J. Math. Anal. Appl. 216, 466\u2013480 (1997)","journal-title":"J. Math. Anal. Appl."},{"key":"468_CR21","doi-asserted-by":"publisher","first-page":"180","DOI":"10.1016\/S0022-247X(85)71126-2","volume":"191","author":"W Zhang","year":"1985","unstructured":"Zhang, W.: The Fredholm alternative and exponential dichotomies for parabolic equations. J. Math. Anal. Appl. 191, 180\u2013201 (1985)","journal-title":"J. Math. Anal. Appl."}],"container-title":["Aequationes mathematicae"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00010-017-0468-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00010-017-0468-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00010-017-0468-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,16]],"date-time":"2020-05-16T18:54:12Z","timestamp":1589655252000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00010-017-0468-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,2,8]]},"references-count":21,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2017,4]]}},"alternative-id":["468"],"URL":"https:\/\/doi.org\/10.1007\/s00010-017-0468-9","relation":{},"ISSN":["0001-9054","1420-8903"],"issn-type":[{"value":"0001-9054","type":"print"},{"value":"1420-8903","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,2,8]]},"assertion":[{"value":"2 September 2016","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 February 2017","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}