Some problems about the limit of a real-valued function
Dimitrije Hajduković (2002)
Kragujevac Journal of Mathematics
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Dimitrije Hajduković (2002)
Kragujevac Journal of Mathematics
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Sghir, A. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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Litvinov, N.V. (2000)
Siberian Mathematical Journal
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Litvinov, N.V. (2000)
Siberian Mathematical Journal
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Kamont, Z., Kozieł, S. (2003)
Georgian Mathematical Journal
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Polyakov, E.A. (2001)
Siberian Mathematical Journal
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Sobhy El-sayed, I., Faried, N., Attia, G.M. (2001)
Siberian Mathematical Journal
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Romanov, V.G. (2008)
Sibirskij Matematicheskij Zhurnal
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B. Przeradzki (1992)
Annales Polonici Mathematici
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The existence of bounded solutions for equations x' = A(t)x + r(x,t) is proved, where the linear part is exponentially dichotomic and the nonlinear term r satisfies some weak conditions.
Liczberski, Piotr, Starkov, V.V. (2001)
Sibirskij Matematicheskij Zhurnal
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Wiciak, Margareta (2004)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Anna Karczewska, Stanisław Wędrychowicz (1996)
Commentationes Mathematicae Universitatis Carolinae
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The aim of this paper is to give an existence theorem for a semilinear equation of evolution in the case when the generator of semigroup of operators depends on time parameter. The paper is a generalization of [2]. Basing on the notion of a measure of noncompactness in Banach space, we prove the existence of mild solutions of the equation considered. Additionally, the applicability of the results obtained to control theory is also shown. The main theorem of the paper allows to characterize...