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Volumn 126, Issue 4, 1996, Pages 725-738

A global continuation theorem and bifurcation from infinity for infinite-dimensional dynamical systems

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EID: 21344473060     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500023039     Document Type: Article
Times cited : (10)

References (17)
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    • Continuation principles and boundary value problems
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    • M. Martelli. Continuation principles and boundary value problems. In Topological Methods for Ordinary Differential Equations, eds M. Furi and P. Zecca, 1537 (Berlin: Springer, 1993).
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    • Martelli, M.1
  • 7
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    • Global analysis of two-parameter elliptic eigenvalue problems
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    • Peitgen, H.O.1    Schmitt, K.2
  • 8
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    • Some global results for nonlinear eigenvalue problems
    • P. H. Rabinowitz. Some global results for nonlinear eigenvalue problems. J. Funct. Anal. 7 (1971), 487-513.
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    • Rabinowitz, P.H.1
  • 10
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    • On the homotopy index for infinite dimensional semiflows
    • K. P. Rybakowski. On the homotopy index for infinite dimensional semiflows. Trans. Amer. Math. Soc. 269 (1982), 351-82.
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    • On bifurcation from infinity for potential operators
    • K. Schmitt and Z. Q. Wang. On bifurcation from infinity for potential operators. Differential Integral Equations 4 (1991), 933-43.
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    • Schmitt, K.1    Wang, Z.Q.2
  • 13
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    • Asymptotic linearity and nonlinear eigenvalue problems
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    • Toland, J.F.1
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    • Bifurcation and asymptotic bifurcation for non-compact non-symmetric gradient operators
    • J. F. Toland. Bifurcation and asymptotic bifurcation for non-compact non-symmetric gradient operators. Proc. Roy. Soc. Edinburgh Sect. A 73 (1975), 137-47.
    • (1975) Proc. Roy. Soc. Edinburgh Sect. A , vol.73 , pp. 137-147
    • Toland, J.F.1
  • 15
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    • Bifurcating continua in infinite dimensional dynamical systems and applications to differential equations
    • to appear
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