On local and global existence theorems for a nonautonomous differential equation in a Banach space

MR0440149 Kat{\'o}, Shigeo Shigeo KATO On local and global existence theorems for a nonautonomous differential equation in a Banach space Funkcialaj Ekvacioj. Serio Internacia 19 1976 279--286 http://fe.math.kobe-u.ac.jp/FE/Free/vol19/fe19-3-6.pdf http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE11-20-en_KML/fe19-279-286/fe19-279-286.pdf http://www.ams.org/mathscinet-getitem?mr=MR0440149 fe19-279-286 1976 On Local and Global Existence Theorems for a Nonautonomous Differential Equation in a Banach Space KATO, Shigeo KATO, Shigeo

1 Browder, F. E. Non-linear equations of evolution Ann. of Math. 8 1964 485-523 MR0173960

2 Coddington, E.; Levinson, N. Theory of ordinary differential equations McGraw- Hill, New York 1955 MR0069338 100 Cache/Co/Coddington,ordinary,*,1955,1956 xii+429

3 Flett, T. M. Some applications of Zygmund's lemma to nonlinear differential equations in Banach and Hilbert spaces Studia Math. 44 1972 335-344 MR0333385 92 Cache/Fl/Flett,applications,Studia*,1972,1973

4 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

5 Kenmochi, N.; Takahashi, T., On the global existence of solutions of differential equations on closed subsets of a Banach space, to appear MR0382803 6 Lakshmikanthan, V.; Leela, S. Differential and integral inequalities Academic Press, New York 1969 MR0379933 Cache/La/Lakshmikanthan,*,*,1969,1970

7 Lovelady, D. L.; Martin, R. A global existence theorem for a nonautonomous differential equation in a Banach space Proc. Amer. Math. Soc. 35 1972 445-449 MR0303035 100 Cache/Lo/Lovelady,nonautonomous,Proc*,1972,1973

8 Martin, R. A global existence theorem for autonomous differential equations in a Banach space Proc. Amer. Math. Soc. 26 1970 307-314 MR0264195 100 Cache/Ma/Martin,autonomous,Proc*,1970,1971

9 Murakami, H. On non-linear ordinary and evolution equations Funkcial. Ekvac. 9 1966 151-162 MR0209617 0209617 Cache/Mu/Murakami,nonlinear,Funkcial*,1966,1967

10 Ricciardi, P.; Tubaro, L. Local existence for differential equations in Banach space Boll. Un. Mat. Ital. 8 1973 306-316 MR0333387 100 Cache/Ri/Ricciardi,existence,Boll*,1973,1974

11 Webb, G. Continuous nonlinear perturbation of linear accretive operators in Banach spaces J. Functial Analysis 10 1972 191-203 MR0361965 90 Cache/We/Webb,perturbation,J*,1972,1973