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Global bifurcation theorems for nonlinearly perturbed operator equations
Author(s):
John
MacBain
Journal:
Bull. Amer. Math. Soc.
82
(1976),
584-586.
MSC (1970):
Primary 46N05
MathSciNet review:
0428141
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Additional information
References:
- 1.
- M. A. Krasnosel'skiĭ, Topological methods in the theory of nonlinear integral equations, GITTL, Moscow, 1956; English transl., Macmillan, New York, 1964. MR 20 # 3464; 28 # 2414. MR 159197
- 2.
- J. A. MacBain, Local and global bifurcation from normal eigenvalues, Ph. D. Thesis, Purdue Univ., 1974.
- 3 J. A. MacBain, Global bifurcation theorems for noncompact operators, Bull. Amer. Math. Soc. 80 (1974), 1005-1009. MR 50 # 14403. MR 361961
- 4.
- J. A. MacBain, Local and global bifurcation from normal eigenvalues, Pacific J. Math. 63 (1976). MR 415441
- 5.
- R. D. Nussbaum, The fixed point index and fixed point theorems for k-set contractions, Ph.D. Thesis, Chicago, Ill., 1969.
- 6.
- P. H. Rabinowitz, Some aspects of nonlinear eigenvalue problems, Rocky Mountain Consortium Sympos. on Nonlinear Eigenvalue Problems (Santa Fe, N. M., 1971), Rocky Mountain J. Math. 3 (1973), 161-202. MR 47 # 9383. MR 320850
- 7.
- C. A. Stuart, Some bifurcation theory for k-set contractions, Proc. London Math. Soc. (3) 27 (1973), 531-550. MR 333856
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Additional Information:
DOI:
10.1090/S0002-9904-1976-14115-8
PII:
S 0002-9904(1976)14115-8
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