Aronszajn-Hukuara type theorem for semilinear differential inclusions with nonlocal conditions
In this note we investigate the topological structure of the mild solution set of nonlocal Cauchy problems governed by semilinear differential inclusions in separable Banach spaces. We show that the mild solution set is a compact absolute retract (and then a continuum and $R_\delta$-set). As a parti...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2015-07-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3781 |
| Summary: | In this note we investigate the topological structure of the mild solution set of nonlocal Cauchy problems governed by semilinear differential inclusions in separable Banach spaces. We show that the mild solution set is a compact absolute retract (and then a continuum and $R_\delta$-set). As a particular case, the topological structure of the periodic mild solution set is deduced. An illustrating example is supplied. |
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| ISSN: | 1417-3875 |