Lower semicontinuous differential inclusions with state constrains.
Donchev, Tzanko, Ivanov, Radostin (2001)
Novi Sad Journal of Mathematics
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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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Isaia, F. (2006)
Acta Mathematica Universitatis Comenianae. New Series
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Stouti, A., Maaden, A. (2007)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Lech Górniewicz, Danuta Rozpłoch-Nowakowska (1996)
Banach Center Publications
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The paper contains a survey of various results concerning the Schauder Fixed Point Theorem for metric spaces both in single-valued and multi-valued cases. A number of open problems is formulated.
Donchev, Tzanko (2002)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Agarwal, Ravi P., O'Regan, Donal (2002)
Georgian Mathematical Journal
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Ribarska, N., Tsachev, Ts., Krastanov, M. (1996)
Serdica Mathematical Journal
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∗Partially supported by Grant MM 409/94 of the Mininstry of Education, Science and Technology, Bulgaria. ∗∗Partially supported by Grants MM 521/95, MM 442/94 of the Mininstry of Education, Science and Technology, Bulgaria. The definition of the weak slope of continuous functions introduced by Degiovanni and Marzocchi (cf. [8]) and its interrelation with the notion “steepness” of locally Lipschitz functions are discussed. A deformation lemma and a mountain pass theorem for...
Ewa Girejko, Zbigniew Bartosiewicz (2006)
Control and Cybernetics
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F. S. De Blasi, G. Pianigiani (1992)
Annales Polonici Mathematici
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An existence theorem for the cauchy problem (*) ẋ ∈ ext F(t,x), x(t₀) = x₀, in banach spaces is proved, under assumptions which exclude compactness. Moreover, a type of density of the solution set of (*) in the solution set of ẋ ∈ f(t,x), x(t₀) = x₀, is established. The results are obtained by using an improved version of the baire category method developed in [8]-[10].
Cârjă, Ovidiu, Monteiro Marques, Manuel D.P. (2000)
Journal of Convex Analysis
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