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Monotone iterative technique for differential equations in a Banach space. (English) Zbl 0523.34057


MSC:

34G10 Linear differential equations in abstract spaces
34A45 Theoretical approximation of solutions to ordinary differential equations
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References:

[1] Deimling, K.; Lakshmikantham, V., On existence of extremal solutions of differential equations in Banach spaces, J. Nonlinear Anal., 3, 563-568 (1979) · Zbl 0418.34061
[2] Deimling, K., Ordinary Differential Equations in Banach Space, (Lecture Notes in Mathematics No. 596 (1977), Springer-Verlag: Springer-Verlag Berlin/New York) · Zbl 0555.60036
[3] Lakshmikantham, V.; Leela, S., An Introduction to Nonlinear Differential Equations in Abstract Space (1981), Pergamon: Pergamon Oxford · Zbl 0456.34002
[4] Lakshmikantham, V.; Leela, S.; Oguztöreli, M. N., Quasi-solutions, vector Lyapunov functions and monotone method, IEEE Trans. Automa. Control, 26, 1149-1153 (1981) · Zbl 0505.34044
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