| Title:
|
On the existence of solution of the equation $L(x) = N(x)$ and a generalized coincidence degree theory. II. (English) |
| Author:
|
Tarafdar, Enayat |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
22 |
| Issue:
|
1 |
| Year:
|
1981 |
| Pages:
|
37-58 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47A50 |
| MSC:
|
47A53 |
| MSC:
|
47A55 |
| MSC:
|
47H10 |
| MSC:
|
47H15 |
| MSC:
|
47J05 |
| idZBL:
|
Zbl 0461.47034 |
| idMR:
|
MR609935 |
| . |
| Date available:
|
2008-06-05T21:07:03Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106052 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/106045 |
| . |
| Reference:
|
[1] BROWDER F. E., PETRYSHYN W. V.: Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces.J. Functional Anal. 39 (1968), 217-245. MR 0244812 |
| Reference:
|
[2] BROWDER F. E., PETRYSHYN W. V.: The topological degree and the Galerkin approximations for non-compact operator in Banach spaces.Bull. Amer. Math. Soc. 74 (1968), 641-646. MR 0229100 |
| Reference:
|
[3] FITZPATRICK P. M.: A generalized degree for uniform limits of $A$-proper mappings.J. Math. Anal. Appl. 35 (1971), 536-552. Zbl 0215.21304, MR 0281069 |
| Reference:
|
[4] 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:
|
[5] GOLDENSTEIN L. S., GOHBERG I. Ts, MARKUS A. S.: Investigation of some properties of bounded linear opeгators in connection with their $q$-norm.Uch. Zap. Kishinev, Gos. Univ. 29 (1957), 29-36. |
| Reference:
|
[6] HETZER G.: Some remarks on $\phi_+$ opeгators and on the coincidence degree for Fгedholm equation with non-compact nonlineaг perturbation.Ann. Soc. Sci. Bruxelles Ser. I 89 (1975), 497-508. MR 0385653 |
| Reference:
|
[7] KRASNOSEL'SKII M. A.: Some problems of nonlinear analysis.Amer. Math. Soc. Transl. (2) 10 (1958), 345-409. MR 0094731 |
| Reference:
|
[8] KURATOWSKI C.: Sur les espaces complets.Fund. Math. 15 (1930), 301-309. |
| Reference:
|
[9] 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:
|
[10] NUSSBAUM R. D.: The fixed point index for local condensing maps.An. Mat. pura Appl. (4) 89 (1971), 217-258. Zbl 0226.47031, MR 0312341 |
| Reference:
|
[11] NUSSBAUM R. D.: Degree theory for local condensing maps.J. Math. Anal. Appl. 37 (1972), 741-766. Zbl 0232.47062, MR 0306986 |
| Reference:
|
[12] TARAFDAR E.: On the existence of solution of the equation $L(x) = N(x)$ and a generalized coincidence degree theory I.Comment. Math. Univ. Carolinae 21 (1980), 805-823. Zbl 0463.47046, MR 0597769 |
| Reference:
|
[13] VAINIKKO G. M., SADOVSKII B. N.: On the rotation of condensing vector fields.(Russian), Probl. Matem., Analiza Slozhn. Sist. No. 2, Voronezh (1968), 84-88. MR 0293469 |
| . |
