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

MSC:
34G20 Nonlinear differential equations in abstract spaces
34C25 Periodic solutions to ordinary differential equations
47J05 Equations involving nonlinear operators (general)
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[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
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[12] {\scAmann} H., Invariant sets and existence theorems for semilinear parabolic and elliptic systems, preprint.
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