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

Year, pages: 2015, 573 - 582

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].

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

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