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On the existence of solutions of ordinary differential equations in Banach spaces

In: Mathematica Slovaca, vol. 65, no. 3
Aldona Dutkiewicz
Detaily:
Rok, strany: 2015, 573 - 582
Kľúčové slová:
ordinary differential equations, measures of noncompactness, Nagumo condition, Banach spaces
O článku:
In this paper we prove an existence theorem for ordinary differential equations in Banach spaces. The main assumptions in our results, formulated in terms of the Kuratowski measure of noncompactness, are motivated by the paper [CONSTANTIN, A.: \textit{On Nagumo's theorem}, Proc. Japan Acad. Ser. A Math. Sci. \textbf{86} (2010), 41–44].
Ako citovať:
ISO 690:
Dutkiewicz, A. 2015. On the existence of solutions of ordinary differential equations in Banach spaces. In Mathematica Slovaca, vol. 65, no.3, pp. 573-582. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0041

APA:
Dutkiewicz, A. (2015). On the existence of solutions of ordinary differential equations in Banach spaces. Mathematica Slovaca, 65(3), 573-582. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0041
O vydaní: