Abstract
A topological structure of the set of solutions to impulsive functional differential inclusions on the half-line is investigated. It is shown that the solution set is nonempty, compact and, moreover, an R δ -set. It is proved on compact intervals and then, using the inverse limit method, obtained on the half-line.
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The authors are indebted to the referee for his valuable comments and remarks on some very recent papers connected with the material presented above.With his helpful suggestions the paper has become more complete and familiar for the reader.
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This research was partially supported by the MNiSW scientific project no. N N201 395137.
An erratum to this article is available at http://dx.doi.org/10.1007/s00030-014-0285-y.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Gabor, G., Grudzka, A. Structure of the solution set to impulsive functional differential inclusions on the half-line. Nonlinear Differ. Equ. Appl. 19, 609–627 (2012). https://doi.org/10.1007/s00030-011-0144-z
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DOI: https://doi.org/10.1007/s00030-011-0144-z