Global Bifurcation of Periodic Solutions to Ordinary Differential Equations

Journal of Differential Equations

Volumn 142, Issue 1, 1998, Pages 1-16

  Ward Jr , James Robert ^a  

^a UNIVERSITY OF ALABAMA AT BIRMINGHAM   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040086753     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1997.3336     Document Type: Article

References (15)

1. Angenent S. The zero set of a solution of a parabolic equation. J. Reine Angew. Math. 390:1988;79-96.
2. Böhme R. Die Lösung der Verzweigungsgleichungen fur nichtlineare Eigenwertprobleme. Math. Z. 127:1972;105-126.
3. Conley C. C. Isolated Invariant Sets and the Morse Index. CMBS. 38:1978;Am. Math. Soc. Providence.
4. Hale J. K. Asymptotic Behavior of Dissipative Systems. 1988;Am. Math. Soc. Providence.
5. Henry D. Geometric Theory of Semilinear Parabolic Equations. Lecture Notes in Mathematics. 840:1981;Springer-Verlag, Berlin/New York.
6. Krasnosel'skii M. A. Topological Methods in the Theory of Nonlinear Integral Equations. 1964;Pergamon Press, Oxford.
7. Rabinowitz P. H. Some global results for nonlinear eigenvalue problems. J. Funct. Anal. 7:1971;487-513.
8. Rabinowitz P. H. Minimax Methods in Critical Point Theory with Applications to Differential Equations. CBMS. 65:1986;Am. Math. Soc. Providence.
9. Rybakowski K. P. On the homotopy index for infinite dimensional semiflows. Trans. Amer. Math. Soc. 269:1982;351-382.
10. Rybakowski K. P. The Homotopy Index and Partial Differential Equations. 1987;Springer-Verlag, Berlin/New York.
11. Rybakowski K. P., Zehnder E. On a Morse equation in Conley's index theory for semiflows on metric spaces. Ergodic Theory Dynam. Systems. 5:1985;123-143.
12. Takens F. Some remarks on the Böhme-Berger bifurcation theorem. Math. Z. 129:1972;359-364.
13. Ward J. R. Bifurcating continua in infinite dimensional dynamical systems and applications to differential equations. J. Differential Equations. 125:1996;117-132.
14. Ward J. R. A global continuation theorem and bifurcation at infinity for infinite dimensional dynamical systems. Proc. Royal Soc. Edinburgh. 126A:1996;725-738.
15. Whyburn G. T. Topological Analysis. 1958;Princeton Univ. Press, Princeton.