{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,10]],"date-time":"2025-11-10T20:58:48Z","timestamp":1762808328338},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2015,3,1]],"date-time":"2015-03-01T00:00:00Z","timestamp":1425168000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Bull Braz Math Soc, New Series"],"published-print":{"date-parts":[[2015,3]]},"DOI":"10.1007\/s00574-015-0085-y","type":"journal-article","created":{"date-parts":[[2015,3,20]],"date-time":"2015-03-20T18:27:06Z","timestamp":1426876026000},"page":"81-103","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Characterization of strong exponential dichotomies"],"prefix":"10.1007","volume":"46","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":[[2015,3,21]]},"reference":[{"key":"85_CR1","volume-title":"University Lecture Series 23, Amer. Math. Soc.","author":"L. Barreira","year":"2002","unstructured":"L. Barreira and Ya. Pesin. Lyapunov Exponents and Smooth Ergodic Theory. University Lecture Series 23, Amer. Math. Soc., (2002)."},{"key":"85_CR2","volume-title":"Encyclopedia ofMathematics and Its Application 115","author":"L. Barreira","year":"2007","unstructured":"L. Barreira and Ya. Pesin. NonuniformHyperbolicity. Encyclopedia ofMathematics and Its Application 115, Cambridge University Press (2007)."},{"key":"85_CR3","doi-asserted-by":"crossref","first-page":"2407","DOI":"10.1016\/j.jde.2008.02.028","volume":"244","author":"L. Barreira","year":"2008","unstructured":"L. Barreira and C. Valls. Robustness of nonuniform exponential dichotomies in Banach spaces. J. Differential Equation., 244 (2008), 2407\u20132447.","journal-title":"J. Differential Equation."},{"key":"85_CR4","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-74775-8","volume-title":"Stability of Nonautonomous Differential Equations","author":"L. Barreira","year":"2008","unstructured":"L. Barreira and C. Valls. Stability of Nonautonomous Differential Equations. Lecture Notes in Mathematics 1926, Springer (2008)."},{"key":"85_CR5","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1007\/978-3-0348-8615-4_3","volume-title":"Time-Variant Systems and Interpolation, Oper. Theory Adv. Appl.","author":"A. Ben-Artzi","year":"1992","unstructured":"A. Ben-Artzi and I. Gohberg. Dichotomy of systems and invertibility of linear ordinary differential operators, in Time-Variant Systems and Interpolation, Oper. Theory Adv. Appl. 56, Birkh\u00e4user, (1992), 90\u2013119.","edition":"56"},{"key":"85_CR6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF01063733","volume":"5","author":"A. Ben-Artzi","year":"1993","unstructured":"A. Ben-Artzi, I. Gohberg and M. Kaashoek. Invertibility and dichotomy of differential operators on a half-line. J. Dynam. Differential Equation., 5 (1993), 1\u201336.","journal-title":"J. Dynam. Differential Equation."},{"key":"85_CR7","volume-title":"Mathematical Surveys and Monographs","author":"C. Chicone","year":"1999","unstructured":"C. Chicone and Yu. Latushkin. Evolution Semigroups in Dynamical Systems and Differential Equations. Mathematical Surveys and Monographs 70, Amer. Math. Soc., (1999).","edition":"70"},{"key":"85_CR8","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1006\/jdeq.1995.1117","volume":"120","author":"S.-N. Chow","year":"1995","unstructured":"S.-N. Chow and H. Leiva. Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces. J. Differential Equation., 120 (1995), 429\u2013477.","journal-title":"J. Differential Equation."},{"key":"85_CR9","doi-asserted-by":"crossref","first-page":"500","DOI":"10.1016\/0022-0396(67)90014-9","volume":"3","author":"W. Coppel","year":"1967","unstructured":"W. Coppel. Dichotomies and reducibility. J. Differential Equations, 3 (1967), 500\u2013521.","journal-title":"J. Differential Equations"},{"key":"85_CR10","first-page":"629","volume-title":"Lect. Notes in Math.","author":"W. Coppel","year":"1978","unstructured":"W. Coppel. Dichotomies in Stability Theory. Lect. Notes in Math. 629, Springer (1978)."},{"key":"85_CR11","first-page":"43","volume-title":"Translations of Mathematical Monographs","author":"J.u. Dalecki\u012d","year":"1974","unstructured":"Ju. Dalecki\u012d and M. Kre\u012dn. Stability of Solutions of Differential Equations in Banach Space. Translations of Mathematical Monographs 43, Amer. Math. Soc., (1974)."},{"key":"85_CR12","first-page":"840","volume-title":"Lect. Notes in Math.","author":"D. Henry","year":"1981","unstructured":"D. Henry. Geometric Theory of Semilinear Parabolic Equations. Lect. Notes in Math. 840, Springer (1981)."},{"key":"85_CR13","doi-asserted-by":"crossref","first-page":"330","DOI":"10.1016\/j.jfa.2005.11.002","volume":"235","author":"N. Huy","year":"2006","unstructured":"N. Huy. Exponential dichotomy of evolution equations and admissibility of function spaces on a half-line. J. Funct. Anal., 235 (2006), 330\u2013354.","journal-title":"J. Funct. Anal."},{"key":"85_CR14","first-page":"387","volume":"58","author":"Y.u. Latushkin","year":"2007","unstructured":"Yu. Latushkin, A. Pogan and R. Schnaubelt. Dichotomy and Fredholm properties of evolution equations. J. Operator Theor., 58 (2007), 387\u2013414.","journal-title":"J. Operator Theor."},{"key":"85_CR15","volume-title":"Almost Periodic Functions and Differential Equations","author":"B. Levitan","year":"1982","unstructured":"B. Levitan and V. Zhikov. Almost Periodic Functions and Differential Equations. Cambridge University Press, (1982)."},{"issue":"67","key":"85_CR16","doi-asserted-by":"crossref","first-page":"517","DOI":"10.2307\/1969871","volume":"2","author":"J. Massera","year":"1958","unstructured":"J. Massera and J. Sch\u00e4ffer. Linear differential equations and functional analysis. I. Ann. of Math. (2), 67 (1958), 517\u2013573.","journal-title":"I. Ann. of Math."},{"key":"85_CR17","first-page":"21","volume-title":"Pure and Applied Mathematics","author":"J. Massera","year":"1966","unstructured":"J. Massera and J. Sch\u00e4ffer. Linear Differential Equations and Function Spaces. Pure and Applied Mathematics 21, Academic Press, (1966)."},{"key":"85_CR18","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1006\/jmaa.2001.7450","volume":"261","author":"N. Minh","year":"2001","unstructured":"N. Minh and N. Huy. Characterizations of dichotomies of evolution equations on the half-line. J. Math. Anal. Appl., 261 (2001), 28\u201344.","journal-title":"J. Math. Anal. Appl."},{"key":"85_CR19","doi-asserted-by":"crossref","first-page":"559","DOI":"10.1016\/S0362-546X(97)00423-9","volume":"31","author":"R. Naulin","year":"1998","unstructured":"R. Naulin and M. Pinto. Admissible perturbations of exponential dichotomy roughness. Nonlinear Anal., 31 (1998), 559\u2013571.","journal-title":"Nonlinear Anal."},{"key":"85_CR20","first-page":"197","volume":"19","author":"V. Oseledets","year":"1968","unstructured":"V. Oseledets. A multiplicative ergodic theorem. Liapunov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc., 19 (1968), 197\u2013221.","journal-title":"Trans. Moscow Math. Soc."},{"key":"85_CR21","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1090\/S0002-9939-1988-0958058-1","volume":"104","author":"K. Palmer","year":"1988","unstructured":"K. Palmer. Exponential dichotomies and Fredholm operators. Proc. Amer. Math. Soc., 104 (1988), 149\u2013156.","journal-title":"Proc. Amer. Math. Soc."},{"key":"85_CR22","doi-asserted-by":"crossref","first-page":"703","DOI":"10.1007\/BF01194662","volume":"32","author":"O. Perron","year":"1930","unstructured":"O. Perron. Die Stabilit\u00e4tsfrage bei Differentialgleichungen. Math. Z., 32 (1930), 703\u2013728.","journal-title":"Math. Z."},{"key":"85_CR23","doi-asserted-by":"crossref","first-page":"1261","DOI":"10.1070\/IM1976v010n06ABEH001835","volume":"10","author":"Y.a. Pesin","year":"1976","unstructured":"Ya. Pesin. Families of invariantmanifolds corresponding to nonzero characteristic exponents. Math. USSR-Izv., 10 (1976), 1261\u20131305.","journal-title":"Math. USSR-Izv."},{"key":"85_CR24","doi-asserted-by":"crossref","first-page":"471","DOI":"10.1023\/A:1021913903923","volume":"11","author":"V. Pliss","year":"1999","unstructured":"V. Pliss and G. Sell. Robustness of exponential dichotomies in infinite-dimensional dynamical systems. J. Dynam. Differential Equation., 11 (1999), 471\u2013513.","journal-title":"J. Dynam. Differential Equation."},{"key":"85_CR25","doi-asserted-by":"crossref","first-page":"436","DOI":"10.1016\/j.jmaa.2005.04.011","volume":"314","author":"L. Popescu","year":"2006","unstructured":"L. Popescu. Exponential dichotomy roughness on Banach spaces. J. Math. Anal. Appl., 314 (2006), 436\u2013454.","journal-title":"J. Math. Anal. Appl."},{"key":"85_CR26","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1007\/s00020-002-1268-7","volume":"49","author":"P. Preda","year":"2004","unstructured":"P. Preda, A. Pogan and C. Preda. (L p, L q)-admissibility and exponential dichotomy of evolutionary processes on the half-line. Integral Equations Operator Theor., 49 (2004), 405\u2013418.","journal-title":"Integral Equations Operator Theor."},{"key":"85_CR27","doi-asserted-by":"crossref","first-page":"332","DOI":"10.1007\/BF01203774","volume":"32","author":"N. Minh Van","year":"1998","unstructured":"N. Van Minh, F. R\u00e4biger and R. Schnaubelt. Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line. Integral Equations Operator Theor., 32 (1998), 332\u2013353.","journal-title":"Integral Equations Operator Theor."},{"key":"85_CR28","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1016\/S0022-247X(85)71126-2","volume":"191","author":"W. Zhang","year":"1985","unstructured":"W. Zhang. The Fredholm alternative and exponential dichotomies for parabolic equations. J. Math. Anal. Appl., 191 (1985), 180\u2013201.","journal-title":"J. Math. Anal. Appl."}],"container-title":["Bulletin of the Brazilian Mathematical Society, New Series"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00574-015-0085-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00574-015-0085-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00574-015-0085-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T03:07:19Z","timestamp":1559099239000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00574-015-0085-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,3]]},"references-count":28,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015,3]]}},"alternative-id":["85"],"URL":"https:\/\/doi.org\/10.1007\/s00574-015-0085-y","relation":{},"ISSN":["1678-7544","1678-7714"],"issn-type":[{"value":"1678-7544","type":"print"},{"value":"1678-7714","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,3]]}}}