@article{oai:kitami-it.repo.nii.ac.jp:00006591, author = {Yasuhiko, YABU and Shigeo, KATO}, issue = {2}, journal = {北見工業大学研究報告}, month = {Mar}, note = {application/pdf, The existence of solutions of the Cauchy problem x^′=f(t, x), x(0)=x_0∈E in a Banach space E are studied. We give a sufficient condition for the above equation to have a unique solution, and prove that the successive approximations of the above equation converge weakly to the unique solution}, pages = {213--217}, title = {Some Remarks on the Existence of Solutions of Nonlinear Ordinary Differential Equations in Banach Spaces}, volume = {17}, year = {1986} }