This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Crandall, M. G., and Rabinowitz, P. H., Bifurcation from simple eigenvalues, J. Functional Analysis, 8, 321–340, (1971).
Krasnoselskii, V. M., Investigation of the bifurcation of small eigenfunctions in the case of multidimensional degeneration, Soviet Math. Dokl., 11, 1609–1613, (1970).
Keller, J. B., Perturbation Theory, Notes on a series of lectures, Michigan State University, East Lansing, 1968.
Pimbley, G. H., Jr., Eigenfunction Branches of Nonlinear Operators, and their Bifurcations, Springer, New York, 1969.
Sather, D., Branching of solutions of an equation in Hilbert space, Arch. Rational Mech. Anal., 36, 47–64, (1970).
Stattinger, D. H. Transition to instability, these Proceedings.
Stakgold, I. Branching of solutions of nonlinear equations, SIAM Rev., 13, 289–332, (1971).
de Sz. Nagy, B., Perturbations des transformations autoadjointes dans l'espace de Hilbert, Comment. Math. Helv., 19, 347–366, (1946–1947).
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).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1973 Springer Verlag
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0060563
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06251-6
Online ISBN: 978-3-540-38558-5
eBook Packages: Springer Book Archive
