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Bifurcation from simple eigenvalues for several parameter families. (English) Zbl 0383.34050


MSC:

34G10 Linear differential equations in abstract spaces
34A99 General theory for ordinary differential equations
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References:

[1] Crandall, M. G.; Rabinowitz, P. H., Bifurcation from simple eigenvalues, J. funct. Analysis, 321-430 (1971) · Zbl 0219.46015
[2] Bauer, L.; Keller, H.; Reiss, E., Multiple eigenvalues lead to secondary bifurcations, SIAM Rev., 17, 101-122 (1975)
[3] Keener; Keener
[4] List, S., Generic bifurcation with application to the von Kármán equations, (Ph.D. Thesis (1976), Brown University) · Zbl 0358.34070
[5] Atkinson, F. V., Multiparameter spectral theory, Bull. Am. math. Soc., 74, 1-27 (1968) · Zbl 0191.42402
[6] Källstrom, A.; Sleeman, B. D., An abstract relation for multiple parameter eigenvale problems, Proc. R. Soc. Edinburgh, 74, 135-143 (1974/1975), Ser. A · Zbl 0334.34027
[7] ThomasZachmannJ. math. Analysis Applic.; ThomasZachmannJ. math. Analysis Applic.
[8] Sleeman, B. D., The two parameter Sturm-Liouville problem for ordinary differential equations, Proc. R. Soc. Edinburgh, 69, 139-148 (1970/1971), Ser A · Zbl 0235.34052
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