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 |
. |
Category:
|
math |
. |
MSC:
|
47J05 |
idZBL:
|
Zbl 0344.47028 |
idMR:
|
MR0637071 |
DOI:
|
10.21136/CPM.1977.117947 |
. |
Date available:
|
2009-09-23T08:47:54Z |
Last updated:
|
2020-07-29 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/117947 |
. |
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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