The general Fubini theorem in complete bornological locally convex spaces.
Haluška, Ján, Hutník, Ondrej (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Haluška, Ján, Hutník, Ondrej (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Sababheh, M., Khalil, R. (2009)
The Journal of Nonlinear Sciences and its Applications
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Francesco Saverio De Blasi, Giulio Pianigiani (1999)
Commentationes Mathematicae Universitatis Carolinae
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We study a Cauchy problem for non-convex valued evolution inclusions in non separable Banach spaces under Filippov type assumptions. We establish existence and relaxation theorems.
Lewandowski, Arkadiusz (2008)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Bulgakov, A.I., Vasilyev, V.V. (2002)
Georgian Mathematical Journal
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Krzysztof Czarnowski (1994)
Annales Polonici Mathematici
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The set of solutions of a Volterra equation in a Banach space with a Carathéodory kernel is proved to be an , in particular compact and connected. The kernel is not assumed to be uniformly continuous with respect to the unknown function and the characterization is given in terms of a B₀-space of continuous functions on a noncompact domain.
Aizicovici, Sergiu, Staicu, Vasile (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Salvatore A. Marano (1994)
Annales Polonici Mathematici
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Suslov, S.I. (2000)
Siberian Mathematical Journal
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L. H. Erbe, W. Krawcewicz, Shaozhu Chen (1991)
Annales Polonici Mathematici
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Using the topological transversality method of Granas we prove an existence result for a system of differential inclusions with retardations of the form y'' ∈ F(t,y,y',Φ(y)). The result is applied to the study of the existence of solutions to an equation of the trajectory of an r-stage rocket with retardations.