Continuous selections of solution sets to Volterra integral inclusions in Banach spaces.
Aizicovici, Sergiu, Staicu, Vasile (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Aizicovici, Sergiu, Staicu, Vasile (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Benchohra, Mouffak, Gatsori, Efrosini P., Ntouyas, Sotiris K. (2002)
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Boudjenah, Lotfi (2010)
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Hong, Shihuang (2003)
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Giuseppe Conti, Valeri Obukhovskiĭ, Pietro Zecca (1996)
Banach Center Publications
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In this paper we show that the set of all mild solutions of the Cauchy problem for a functional-differential inclusion in a separable Banach space E of the form x’(t) ∈ A(t)x(t) + F(t,xt) is an -set. Here A(t) is a family of linear operators and F is a Carathéodory type multifunction. We use the existence result proved by V. V. Obukhovskiĭ [22] and extend theorems on the structure of solutions sets obtained by N. S. Papageorgiou [23] and Ya. I. Umanskiĭ [32].