Remarks on infinite systems of ordinary differential equations (Q1343470)

The authors of this work have observed some inconsistency in the proof of Theorem 6.2 in [\textit{K. Deimling}, Ordinary differential equations in Banach spaces. Lect. Notes Math. 596, Springer-Verlag (1977; Zbl 0361.34050)] concerning infinite systems of ordinary differential equations. In this paper, they have given the correct proof of the theorem and have demonstrated the mistake through an example.