Multiple Periodic Solutions of Small Vector Fields on Differentiable Manifolds

Journal of Differential Equations

Volumn 113, Issue 1, 1994, Pages 189-200

  Fečkan, Michal ^a  

^a INSTITUTE OF CHEMISTRY   (Slovakia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009377142     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1006/jdeq.1994.1120     Document Type: Article

References (9)

1. M. Fečkan, Nielsen fixed point theory and nonlinear equations, J. Differential Equations 106 (1993), 312-331.
2. M. Furi and M. P. Pera, A continuation principle for forced oscillations on differentiable manifolds, Pacific. J. Math. 121 (1986), 321-338.
3. R. F. Brown, “The Lefchetz Fixed Point Theorem,” Scott, Foresmann, London, 1971.
4. R. F. Brown, Topological identification of multiple solutions to parametrized nonlinear equations, Pacific J. Math. 131 (1988), 51-69.
5. M. Golubitsky and V. Guillemin, “Stable Mappings and their Singularities,” Springer- Verlag, New York, 1973.
6. A. Capietto, J. Mawhin, and F. Zanolin, Continuation theorems for periodic perturbations of autonomous systems, Trans. Amer. Math. Soc. 329 (1992), 41-72.
7. R. F. Brown, Retraction methods in Nielsen fixed point theory, Pacific J. Math. 115 (1984), 277-297.
8. S. T. Hu, “Theory of Retracts,” Wayne State Univ. Press, Detroit, 1965.
9. J. Moser, Regularization of Kepler’s problem and the averaging method on a manifold, Comm. Pure Appl. Math. 23 (1970), 609-636.