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Periodic solutions for nonautonomous second-order systems with bounded nonlinearity. (English) Zbl 0922.34039

It is studied a class of nonautonomous second-order systems of ordinary differential equations with bounded nonlinearity. By means of minimax methods, some existence and multiplicity results are obtained.

MSC:

34C25 Periodic solutions to ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
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References:

[1] Chang, K. C., On the periodic nonlinearity and the multiplicity of solutions, Nonlinear Anal., 13, 527-537 (1989) · Zbl 0681.58036
[2] Liu, J. Q., A generalized saddle point theorem, J. Differential Equations, 82, 372-385 (1989) · Zbl 0682.34032
[3] Mawhin, J., Nonlinear oscillations: One hundred years after Liapunov and Poincaré, Z. Angew. Math. Mech., 73, 4-5 (1993) · Zbl 0801.34037
[4] Mawhin, J.; Willem, M., Critical Point Theory and Hamiltonian Systems (1989), Springer-Verlag: Springer-Verlag New York/Berlin/Heidelberg/London/Paris/Tokyo · Zbl 0676.58017
[5] Rabinowitz, P. H., On a class of functionals invariant under a\(Z^n\)action, Trans. Amer. Math. Soc., 310, 303-311 (1988) · Zbl 0718.34057
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