On the Fixed Point Index of the Flow and Applications to Periodic Solutions of Differential Equations on Manifolds

Bollettino della Unione Matematica Italiana A

Volumn 10, Issue 1, 1996, Pages 181-194

  Furi, Massimo ^a   Spadini, Marco ^a  

^a UNIVERSITY OF FLORENCE   (Italy)

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[No Author keywords available]

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EID: 1542677593     PISSN: 03924033     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. 1-equivariant operators associated to autonomous neutral equations in spaces of periodic functions, J. Differential Equations, 92 (1991), 90-99.
2. [B] R. F. BROWN, The Lefschetz fixed point theorem, Scott, Foresman and company, Glenview, Illinois, 1971.
3. [C] A. CAPIETTO, Continuation results for operator equations in metric ANRs, Boll. Un. Mat. Ital. B (7), 8 (1994), 135-150.
4. [CMZ] A. CAPIETTO - J. MAWHIN - F. ZANOLIN, Continuation theorems for periodic perturbations of autonomous systems, Trans. Amer. Math. Soc., 329 (1992), 41-72.
5. [CM] S. N. CHOW - J. MALLET-PARET, The Fuller index and global Hopf bifurcation, J. Differential Equations, 29 (1978), 66-85.
6. [FP1] M. FURI - M. P. PERA, Global branches of periodic solutions for forced differential equations on nonzero Euler characteristic manifolds, Boll. Un. Mat. Ital. C, 3 (1984), 157-170.
7. [FP2] M. FURI - M. P. PERA, A continuation principle for forced oscillation on differentiable manifold, Pacific J. Math., 121 (1986), 321-338.
8. [FP3] M. FURI - M. P. PERA, On the fixed point index in locally convex spaces, Proc. Roy. Soc. Edinburgh Sect. A, 106 (1987), 161-168.
9. [FP4] M. FURI - M. P. PERA, A continuation principle for periodic solutions of forced motion equations on manifolds and application to bifurcation theory, Pacific J. Math., 160 (1993), 219-244.
10. [G] A. GRANAS, The Leray-Schauder index and the fixed point theory for arbitrary ANR's, Bull. Soc. Math. France, 100 (1972), 209-228.
11. [H] M. W. HIRSCH, Differential topology, Graduate Texts in Math., 33 (1976).
12. [K] M. A. KRASNOSEL'SKII, Translation along trajectories of differential equations, Transl. Math. Monographs, 19 (1968).
13. [M] J. MAWHIN, Topological degree and boundary value problems for nonlinear differential equations, C.I.M.E. course on topological methods for ordinary differential equations (M. FURI - P. ZECCA eds.), Lecture Notes in Math., 1537 (1991), 74-112.
14. [Mi] J. W. MILNOR, Topology from the differentiable viewpoint, Univ. press of Virginia, Charlottesville, 1965.
15. [N] R. D. NUSSBAUM, The fixed point index and fixed points theorems, C.I.M.E. course on topological methods for ordinary differential equations (M. FURI - P. ZECCA eds.), Lecture Notes in Math., 1537 (1991), 143-205.
16. [T] A. J. TROMBA, The Euler characteristic of vector fields and a globalization of Leray-Schauder degree, Adv. Math., 28 (1978), 148-173.