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A-proper maps and bifurcation theory

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Ordinary and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1151))

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References

  1. M.A. Krasnosel’skii, Topological methods in the theory of nonlinear integral equations, Pergamon, London and New York 1964.

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  2. W.V. Petryshyn, "On the approximation-solvability of equations involving A-proper and pseudo A-proper mappings", Bull. Amer. Math. Soc. 81 (1975), 223–312.

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  3. P.H. Rabinowitz, "Some global results for nonlinear eigenvalue problems", J. Funct. Anal. 7 (1971), 487–513.

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  4. C.A. Stuart, "Some bifurcation theory for k-set contractions", Proc. London Math. Soc. 27 (1973), 531–550.

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  5. A.E. Taylor, Introduction to Functional Analysis, Wiley & Sons, New York and London, 1958.

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  6. J.F. Toland, "Topological methods for nonlinear eigenvalue problems", Battelle Mathematics report no. 77, (1973).

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  7. J.R.L. Webb, "Existence theorems for sums of k-ball contractions and accretive operators via A-proper mappings", Nonlinear Analysis TMA, 5 (1981), 891–896.

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Authors

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Brian D. Sleeman Richard J. Jarvis

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© 1985 Springer-Verlag

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Webb, J.R.L., Welsh, S.C. (1985). A-proper maps and bifurcation theory. In: Sleeman, B.D., Jarvis, R.J. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 1151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074743

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  • DOI: https://doi.org/10.1007/BFb0074743

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15694-9

  • Online ISBN: 978-3-540-39640-6

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