Global bifurcation theorems for nonlinearly perturbed operator equations
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- by John MacBain PDF
- Bull. Amer. Math. Soc. 82 (1976), 584-586
References
- M. A. Krasnosel’skii, Topological methods in the theory of nonlinear integral equations, A Pergamon Press Book, The Macmillan Company, New York, 1964. Translated by A. H. Armstrong; translation edited by J. Burlak. MR 0159197 2. J. A. MacBain, Local and global bifurcation from normal eigenvalues, Ph. D. Thesis, Purdue Univ., 1974.
- John MacBain, Global bifurcation theorems for noncompact operators, Bull. Amer. Math. Soc. 80 (1974), 1005–1009. MR 361961, DOI 10.1090/S0002-9904-1974-13613-X
- John Alan MacBain, Local and global bifurcation from normal eigenvalues, Pacific J. Math. 63 (1976), no. 2, 445–446. MR 415441, DOI 10.2140/pjm.1976.63.445 5. R. D. Nussbaum, The fixed point index and fixed point theorems for k-set contractions, Ph.D. Thesis, Chicago, Ill., 1969.
- Paul H. Rabinowitz, Some aspects of nonlinear eigenvalue problems, Rocky Mountain J. Math. 3 (1973), 161–202. MR 320850, DOI 10.1216/RMJ-1973-3-2-161
- C. A. Stuart, Some bifurcation theory for $k$-set contractions, Proc. London Math. Soc. (3) 27 (1973), 531–550. MR 333856, DOI 10.1112/plms/s3-27.3.531
Additional Information
- Journal: Bull. Amer. Math. Soc. 82 (1976), 584-586
- MSC (1970): Primary 46N05
- DOI: https://doi.org/10.1090/S0002-9904-1976-14115-8
- MathSciNet review: 0428141