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

MSC:
34G10Linear ODE in abstract spaces
34A99General theory of ODE
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Full Text: DOI
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 J., Secondary bifurcation and perturbed bifurcation theory, preprint. · Zbl 0418.47044
[4] List, S.: Generic bifurcation with application to the von kármán equations. Ph.d. thesis (1976)
[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)
[7] Thomas J.W. & Zachmann D.W., A nonlinear three point boundary value problem, J. 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) · Zbl 0235.34052