Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0895-7177(02)00083-3
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dc.titleExponential dichotomies and Fredholm operator for parabolic equations
dc.contributor.authorKwek, K.-H.
dc.contributor.authorZhang, W.
dc.date.accessioned2014-11-28T08:42:57Z
dc.date.available2014-11-28T08:42:57Z
dc.date.issued2002-05-16
dc.identifier.citationKwek, K.-H., Zhang, W. (2002-05-16). Exponential dichotomies and Fredholm operator for parabolic equations. Mathematical and Computer Modelling 35 (11-12) : 1245-1259. ScholarBank@NUS Repository. https://doi.org/10.1016/S0895-7177(02)00083-3
dc.identifier.issn08957177
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/112989
dc.description.abstractIt proved true for infinite-dimensional systems that the operator F:= d/dt - A(t) is Fredholm when A(t), roughly speaking, admits exponential dichotomies on both R+ and R-. It is also interesting to study its converse problem. Although in [1,2] results were given to the question when the Fredholm alternative for bounded solutions of parabolic equations implies exponential dichotomies, but neither of them gave a direct answer to the operator F. In this paper, we try to obtain a direct answer for parabolic equations defined on a Banach space and to give an approach in the space of functions of compact support. © 2002 Elsevier Science Ltd. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/S0895-7177(02)00083-3
dc.sourceScopus
dc.subjectBounded solution
dc.subjectCompact support
dc.subjectExponential dichotomy
dc.subjectFredholm operator
dc.subjectParabolic equations
dc.typeArticle
dc.contributor.departmentTHE LOGISTICS INSTITUTE - ASIA PACIFIC
dc.description.doi10.1016/S0895-7177(02)00083-3
dc.description.sourcetitleMathematical and Computer Modelling
dc.description.volume35
dc.description.issue11-12
dc.description.page1245-1259
dc.description.codenMCMOE
dc.identifier.isiut000176650600006
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