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Periodic solutions of semilinear evolution equations. (English) Zbl 0419.34061

34G20 Nonlinear differential equations in abstract spaces
34C25 Periodic solutions to ordinary differential equations
47J05 Equations involving nonlinear operators (general)
Full Text: DOI
[1] Deimling, K., Ordinary differential equations in Banach spaces, () · Zbl 0555.60036
[2] Martin, R.H., Nonlinear operators and differential equations in Banach spaces, (1976), John Wiley
[3] Pavel, N., Invariant sets for a class of semilinear equations of evolution, Nonlinear analysis, 1, 187-196, (1977) · Zbl 0344.45001
[4] Prüss, J., On semilinear evolution equations in Banach spaces, J. reine angew. math., 303/304, 144-158, (1978) · Zbl 0398.34057
[5] Webb, G.F., Continuous nonlinear perturbations of linear accretive operators in Banach spaces, J. funct. analysis, 10, 191-203, (1972) · Zbl 0245.47052
[6] Diestel, J., Geometry of Banach spaces, () · Zbl 0216.34904
[7] Deimling, K., Periodic solutions of differential equations in Banach spaces, Manuskripta math., 24, 31-44, (1978) · Zbl 0373.34032
[8] {\scDeimling} K., Cone-valued periodic solutions of ordinary differential equations. Proc. Conf. Appl. Nonlin. Analysis, Academic Press (to appear).
[9] Krein, S.G., Linear differential equations in Banach spaces, Transl. math. monographs, 29, (1971), AMS · Zbl 0636.34056
[10] Saaty, T.L., Modern nonlinear equations, (1969), McGraw Hill · Zbl 0148.28202
[11] Cushing, J.M., Integrodifferential equations and delay models in population dynamics, () · Zbl 0363.92014
[12] {\scAmann} H., Invariant sets and existence theorems for semilinear parabolic and elliptic systems, preprint.
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