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Remarks on branching from multiple eigenvalues

Part of the Lecture Notes in Mathematics book series (LNM,volume 322)

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References

  1. Crandall, M. G., and Rabinowitz, P. H., Bifurcation from simple eigenvalues, J. Functional Analysis, 8, 321–340, (1971).

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Krasnoselskii, V. M., Investigation of the bifurcation of small eigenfunctions in the case of multidimensional degeneration, Soviet Math. Dokl., 11, 1609–1613, (1970).

    Google Scholar 

  3. Keller, J. B., Perturbation Theory, Notes on a series of lectures, Michigan State University, East Lansing, 1968.

    Google Scholar 

  4. Pimbley, G. H., Jr., Eigenfunction Branches of Nonlinear Operators, and their Bifurcations, Springer, New York, 1969.

    CrossRef  MATH  Google Scholar 

  5. Sather, D., Branching of solutions of an equation in Hilbert space, Arch. Rational Mech. Anal., 36, 47–64, (1970).

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Stattinger, D. H. Transition to instability, these Proceedings.

    Google Scholar 

  7. Stakgold, I. Branching of solutions of nonlinear equations, SIAM Rev., 13, 289–332, (1971).

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. de Sz. Nagy, B., Perturbations des transformations autoadjointes dans l'espace de Hilbert, Comment. Math. Helv., 19, 347–366, (1946–1947).

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Vainberg, M., and Trenogin, V. A., The methods of Lyapunov and Schmidt in the theory of non-linear equations and their further development, Russian Math. Surveys, 17, 1–60, (1962).

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1973 Springer Verlag

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Greenlee, W.M. (1973). Remarks on branching from multiple eigenvalues. In: Stakgold, I., Joseph, D.D., Sattinger, D.H. (eds) Nonlinear Problems in the Physical Sciences and Biology. Lecture Notes in Mathematics, vol 322. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060563

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  • DOI: https://doi.org/10.1007/BFb0060563

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06251-6

  • Online ISBN: 978-3-540-38558-5

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