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Neutral set differential equations

Abbas, Umber
; 
Lupulescu, Vasile
; 
O’Regan, Donald
; 
Younus, Awais
Repository DOI
Publication Date
2015-09-01
Keywords
neutral type, existence, uniqueness, continous dependence, existence theorem, banach-spaces
Type
Article
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Citation
Abbas, Umber; Lupulescu, Vasile; O’Regan, Donald; Younus, Awais (2015). Neutral set differential equations. Czechoslovak Mathematical Journal 65 (3), 593-615
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.
Funder
Publisher
Institute of Mathematics, Czech Academy of Sciences
Publisher DOI
10.1007/s10587-015-0199-9
Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland
cbn
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Externally hosted open access publications with University of Galway authors (2)