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Periodic solutions to Hamiltonian inclusions. (English) Zbl 0461.34030


MSC:

34C25 Periodic solutions to ordinary differential equations
70H05 Hamilton’s equations
Full Text: DOI

References:

[1] Clarke, F. H., Extremal arcs and extended Hamiltonian systems, Trans. Amer. Math. Soc., 231, 349-367 (1977) · Zbl 0369.49011
[2] Clarke, F. H., A new approach to Lagrange multipliers, Math. Oper. Res., 1, 165-174 (1976) · Zbl 0404.90100
[3] Clarke, F. H., Solution périodique des equations hamiltoniennes, C. R. Acad. Sci. Paris, 287, 951-952 (1978) · Zbl 0422.35005
[4] Clarke, F. H.; Ekeland, I., Hamiltonian trajectories having prescribed minimal period, Comm. Pure Appl. Math., 33, 103-116 (1980) · Zbl 0403.70016
[5] Rabinowitz, P. H., Periodic solutions of Hamiltonian systems, Comm. Pure Appl. Math., 31, 157-184 (1978) · Zbl 0358.70014
[6] Rockafellar, R. T., Convex Analysis (1970), Princeton Univ. Press: Princeton Univ. Press Princeton, N.J · Zbl 0229.90020
[7] Weinstein, A., Normal modes for non-linear Hamiltonian systems, Invent. Math., 20, 47-57 (1973) · Zbl 0264.70020
[8] Weinstein, A., Periodic orbits for convex Hamiltonian systems, Ann. of Math., 108, 507-518 (1978) · Zbl 0403.58001
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