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Title: Remarks on Krasnoselskii bifurcation theorem (English)
Author: Chiappinelli, Raffaele
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 30
Issue: 2
Year: 1989
Pages: 235-241
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Category: math
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MSC: 34B15
MSC: 35B32
MSC: 45K05
MSC: 47H12
MSC: 47H15
MSC: 47J05
MSC: 58C40
MSC: 58E07
idZBL: Zbl 0681.47031
idMR: MR1014123
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Date available: 2008-06-05T21:38:18Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106740
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Reference: [1] Chiappinelli R.: On eigenvalues and bifurcation for nonlinear Sturm-Liouville operators.Boll. Un. Mat. Ital. (6) 4-A (1985), 77-83. Zbl 0565.34016, MR 0781798
Reference: [2] Chiappinelli R.: On bifurcation for nondifferentiable perturbations of selfadjoint operators.Springer Lecture Notes Math. 1151 (1985), 109-114. Zbl 0581.47048, MR 0826280
Reference: [3] Kato T.: Perturbation theory for linear operators.Springer, Berlin (1970). MR 1335452
Reference: [4] Krasnoselskii M. A.: Topological methods in the theory of nonlinear integral equations.Pergamon, London, 1974.
Reference: [5] Gaines R. E., Mawhin J. L.: Coincidence degree and nonlinear differential equations.Springer Lecture Notes Math. 568 (1977). Zbl 0339.47031, MR 0637067
Reference: [6] Mc Leod B., Turner R. E. L.: Bifurcation for nondifferentiable operators with an application to elasticity.Arch. Rat. Mech. Anal. 63 (1975), 1-45.
Reference: [7] Rabinowitz P. H.: Some global results for nonlinear eigenvalue problems.J. Funct. Anal. 7 (1971), 487-513. Zbl 0212.16504, MR 0301587
Reference: [8] Rabinowitz P. H.: Some aspects of nonlinear eigenvalue problems.Rocky Mount. J. Math. 3 (1973), 161-202. Zbl 0255.47069, MR 0320850
Reference: [9] Schmitt K., Smith H. L.: On eigenvalue problems for nondifferentiable mappings.J. Differential Equations 33 (1979), 294-319. Zbl 0389.34019, MR 0543701
Reference: [10] Levitan B. M., Sargsjan I. S.: Introduction to spectral theory.Transl. Math. Monographs 39, AMS, Providence, 1975. Zbl 0302.47036, MR 0369797
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