### On the generalized retract method for differential inclusions with constraints.

Gabor, Grzegorz (2003)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Gabor, Grzegorz (2003)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Donchev, Tzanko, Ivanov, Radostin (2001)

Novi Sad Journal of Mathematics

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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.

Ekici, Erdal (2003)

Boletín de la Asociación Matemática Venezolana

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Salvatore A. Marano (1994)

Annales Polonici Mathematici

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Azzam-Laouir, Dalila, Bounama, Fatiha (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Stouti, A., Maaden, A. (2007)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Cârjă, Ovidiu, Monteiro Marques, Manuel D.P. (2000)

Journal of Convex Analysis

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Sababheh, M., Khalil, R. (2009)

The Journal of Nonlinear Sciences and its Applications

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Nikolaos S. Papageorgiou (1992)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we consider evolution inclusions driven by a time-dependent subdifferential. First we prove a relaxation result and then we use it to show that if the solution set is closed in a space of continuous functions, then the orientor field is almost everywhere convex valued.