Title:
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On the existence of solution of the equation $L(x) = N(x)$ and a generalized coincidence degree theory. I. (English) |
Author:
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Tarafdar, Enayat |
Language:
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English |
Journal:
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Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
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1213-7243 (online) |
Volume:
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21 |
Issue:
|
4 |
Year:
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1980 |
Pages:
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805-823 |
. |
Category:
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math |
. |
MSC:
|
47A50 |
MSC:
|
47A55 |
MSC:
|
47H10 |
MSC:
|
47H15 |
MSC:
|
47J05 |
idZBL:
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Zbl 0463.47046 |
idMR:
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MR597769 |
. |
Date available:
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2008-06-05T21:06:48Z |
Last updated:
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2012-04-28 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/106045 |
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Related article:
|
http://dml.cz/handle/10338.dmlcz/106052 |
. |
Reference:
|
[1] CARADUS S. R.: Perturbation theory for generalized Fredholm operators.Pacific J. Math. 52 (1974), 11-15. Zbl 0267.47010, MR 0353034 |
Reference:
|
[2] CARADUS S. R.: Perturbation theory for generalized Fred-holm operators, II.Transactions Amer. Math. Soc. 62 (1977), 72-76. MR 0435896 |
Reference:
|
[3] DOLPH C. L., MINTY G. J.: On nonlinear integral equations of the Hammerstein type, "Integral Equations".Madison Univ. Press, lilladison, 111 (1964), 99-154. Zbl 0123.29603, MR 0161113 |
Reference:
|
[4] EHRMANN H.: Existenzsätze für die Lösungen gewisser nicht-linear Rand-wertaufgaben.Z. Angew. Math. Mech. 45 (1965), 22-29; Abh. Deutsch. Akad. tfiss. Berlin Kl. MR 0205123 |
Reference:
|
[5] GAINES R. E., MAWHIN J. L.: Coincidence degree and non-linear differential Equations.Lecture Notes in Mathematics, No. 568 (Edited by Dold A. and Eckmann B.), Springer-Verlag (1977). MR 0637067 |
Reference:
|
[6] HETZER G.: Some remarks on $\phi_+$ operators and on the co-incidence degree for Fredholm equation with non-compact nonlinear perturbation.Ann. Soc. Sci. Bruxells Ser. I 89 (1975), 497-508. MR 0385653 |
Reference:
|
[7] HETZER G.: Some applications of the coincidence degree for set-contractions to functional differential equations of neutral type.Comment. Math. Univ. Carolinae 16 (1975), 121-138. Zbl 0298.47034, MR 0364814 |
Reference:
|
[8] KELLET J. L., NAMIOKA I.: Linear Topological Spaces.Graduate Texts in Mathematics, 36, Springer-Verlag (1964). |
Reference:
|
[9] MAWHIN J. : Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locality convex topological vector spaces.J. Differential Equations 12 (1972), 610-636. MR 0328703 |
Reference:
|
[10] TARAFDAR E.: On the existence of the solution of the equation $L(x) = N(x)$ and a generalized coincidence degree theory II.Comment. Math. Univ. Carolinae 21 (1980). MR 0597769 |
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