dc.contributor.author | Abbas, Umber | |
dc.contributor.author | Lupulescu, Vasile | |
dc.contributor.author | O’Regan, Donald | |
dc.contributor.author | Younus, Awais | |
dc.date.accessioned | 2018-09-20T15:58:26Z | |
dc.date.available | 2018-09-20T15:58:26Z | |
dc.date.issued | 2015-09-01 | |
dc.identifier.citation | Abbas, Umber; Lupulescu, Vasile; O’Regan, Donald; Younus, Awais (2015). Neutral set differential equations. Czechoslovak Mathematical Journal 65 (3), 593-615 | |
dc.identifier.issn | 0011-4642,1572-9141 | |
dc.identifier.uri | http://hdl.handle.net/10379/10061 | |
dc.description.abstract | The aim of this paper is to establish an existence and uniqueness result for a class of the set functional differential equations of neutral type {DHX(t)= F(t,Xt,DHXt), where F: [0, b] x Co x 4-) K(E) is a given function, K(E) is the family of all nonempty compact and convex subsets of a separable Banach space E, Co denotes the space of all continuous set-valued functions X from [ r, 0] into Ke(E), 4 is the space of all integrally bounded set-valued functions X: [ r, 0] Ke(E), kli E Co and DH is the Hukuhara derivative. The continuous dependence of solutions on initial data and parameters is also studied. | |
dc.publisher | Institute of Mathematics, Czech Academy of Sciences | |
dc.relation.ispartof | Czechoslovak Mathematical Journal | |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Ireland | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ | |
dc.subject | neutral type | |
dc.subject | existence | |
dc.subject | uniqueness | |
dc.subject | continous dependence | |
dc.subject | existence theorem | |
dc.subject | banach-spaces | |
dc.title | Neutral set differential equations | |
dc.type | Article | |
dc.identifier.doi | 10.1007/s10587-015-0199-9 | |
dc.local.publishedsource | http://dml.cz/bitstream/handle/10338.dmlcz/144434/CzechMathJ_65-2015-3_3.pdf | |
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