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Title: Sur les domaines des valeurs des opérateurs non-linéaires (French)
Title: On domains of values of nonlinear operators (English)
Author: Jarušek, Jiří
Author: Nečas, Jindřich
Language: French
Journal: Časopis pro pěstování matematiky
ISSN: 0528-2195
Volume: 102
Issue: 1
Year: 1977
Pages: 61-72
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Category: math
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MSC: 47J05
idZBL: Zbl 0344.47028
idMR: MR0637071
DOI: 10.21136/CPM.1977.117947
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Date available: 2009-09-23T08:47:54Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/117947
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Reference: [1] Dunford N, Schwartz J. T.: Nonlinear operators.New York, Interscience Publishers, 1958. MR 0117523
Reference: [2] Fucik S.: Nonlinear equations with noninvertible linear part.Czech. Math. Jour. 24 (1974), 467-495. Zbl 0315.47038, MR 0348568
Reference: [3] Hess P.: On the Fredholm alternative for nonlinear functional equations in Banach-spaces.Proc. Amer. Math. Soc. 33 (1972) I, 55-62. Zbl 0249.47064, MR 0301585
Reference: [4] Hess P.: On a theorem by Landesman and Lazer.Indiana Univ. Math. J., 23 (1973/74), 827-29. MR 0352687
Reference: [5] Landesman E. A., Lazer A. C: Nonlinear perturbations of linear elliptic boundary value problems at resonance.Jour. Math. Mech. 19 (1970), 609-623. Zbl 0193.39203, MR 0267269
Reference: [6] Lions J. L.: Quelques méthodes de la résolution des problèmes aux limites non linéaires.Dunod Gauthier-Villars, Paris 1969. MR 0259693
Reference: [7] Mawhin J.: Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces.J. Differential Equations 12 (1972), 610-636. Zbl 0244.47049, MR 0328703
Reference: [8] Nečas J.: On the range of nonlinear operators with linear asymptotes which are not invertible.Comm. Math. Univ. Carolinae 14, 1 (1973), 63-72. MR 0318995
Reference: [9] Nečas J.: Remark on the Fredholm alternative for nonlinear operators with application to nonlinear integral equations of generalised Hammerstein type.Comm. Math. Univ. Carolinae 13, 1 (1972), 109-120. MR 0305171
Reference: [10] Williams S. A.: A sharp sufficient condition for solution of a nonlinear elliptic boundary value problem.J. Differential Equations 8 (1970), 580-586. Zbl 0209.13003, MR 0267267
Reference: [11] Yosida K: Functional analysis.Berlin, Springer Verlag, 1971. Zbl 0217.16001
Reference: [12] Fučík S., Kučera M., Nečas J.: Ranges of nonlinear asymptotically linear operators.J. Differential Equations 17 (1975), 375-394. MR 0372696
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