On the convergence of the successive approximations for nonlinear ordinary differential equations in a Banach space

MR0499555 Kat{\^o}, Shigeo Shigeo KATO On the convergence of the successive approximations for nonlinear ordinary differential equations in a Banach space Funkcialaj Ekvacioj. Serio Internacia 21 1978 43--52 http://fe.math.kobe-u.ac.jp/FE/Free/vol21/fe21-1-3.pdf http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE21-30-en_KML/fe21-043-052/fe21-043-052.pdf http://www.ams.org/mathscinet-getitem?mr=MR0499555 fe21-043-052 1978 On the Convergence of the Successive Approximations for Nonlinear Ordinary Differential Equations in a Banach Space KATO, Shigeo KATO, Shigeo 1 Coddington, E.; Levinson, N. Theory of Ordinary Differential Equations Academic Press 1955 MR0069338 100 Cache/Co/Coddington,Ordinary,*,1955,1956 xii+429 2 Lakshimikantham, V.; Leela, S. Differential and Integral Inequalities Academic Press 1969 MR0379933 Cache/La/Lakshimikantham,*,*,1969,1970

3 Kato, S. Some remarks on nonlinear differential equations in Banach spaces Hokkaido Math. J. 4 1975 205-226 MR0387758 100 Cache/Ka/Kato,nonlinear,Hokkaido*,1975,1976

4 Vidossich, G. Global convergence of successive approximations J. Math. Anal. Appl. 45 1974 285-292 MR0328178 100 Cache/Vi/Vidossich,approximations,J*,1974,1975

5 Yosida, K. Functional Analysis Springer-Verlag, Berlin 1965 MR0180824 Cache/Yo/Yoshida,Functional,*,1965,1966