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Neutral set differential equations

Abbas, Umber
; 
Lupulescu, Vasile
; 
O’Regan, Donald
; 
Younus, Awais
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http://hdl.handle.net/10379/10061
 https://doi.org/10.13025/24927
Publication Date
2015-09-01
Keywords
Externally hosted open access publications with University of Galway authors, existence, uniqueness, continous dependence, existence theorem, banach-spaces
Type
journal article
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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.
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Institute of Mathematics, Czech Academy of Sciences
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