Title:
|
On the Hammerstein integral equations in Banach spaces (English) |
Author:
|
Januszewski, Janusz |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
31 |
Issue:
|
4 |
Year:
|
1990 |
Pages:
|
685-691 |
. |
Category:
|
math |
. |
MSC:
|
45G10 |
MSC:
|
45N05 |
MSC:
|
47H09 |
MSC:
|
47H15 |
MSC:
|
47H30 |
idZBL:
|
Zbl 0741.45005 |
idMR:
|
MR1091365 |
. |
Date available:
|
2008-06-05T21:45:56Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106903 |
. |
Reference:
|
[1] Ambrosetti A.: Un ieorema di esistenza per le equazioni differenziali negli spazi di Banach.Rend. Sem. Mat. Univ. Padova 39 (1967), 349-369. MR 0222426 |
Reference:
|
[2] Azbieliev N. V., Caliuk Z.B.: Ob integralnych nieravienstvach.Matem. Sbornik 56 (1962), 325-342. MR 0140907 |
Reference:
|
[3] Daneš J.: On Densifying and Related Mappings and Their Application in Nonlinear Functional Analysis.Theory of Nonlinear Operators, Akademie-Verlag, Berlin 1974, 15-56. MR 0361946 |
Reference:
|
[4] Deimling K.: Ordinary Differential Equations in Banach Spaces.Lecture Notes in Math. 596, Berlin, Heidelberg, New York, 1977. Zbl 0361.34050, MR 0463601 |
Reference:
|
[5] Heinz H. P.: On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions.Nonlinear Analysis 7 (1983), 1351-1371. Zbl 0528.47046, MR 0726478 |
Reference:
|
[6] Krasnoselskii M. A., Zabreiko P. P., Pustylnik E. I., Sobolevskii P. E.: Integral Operators in Spaces of Integrable Functions.Moskva 1966. |
Reference:
|
[7] Mönch H.: Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces.J. Nonlinear Analysis 4 (1980), 985-999. MR 0586861 |
Reference:
|
[8] Szufla S.: Existence theorems for $L^p$-solutions of integral equations in Banach spaces.Publ. Inst. Math. 40, 54 (1986), 99-105. MR 0883938 |
Reference:
|
[9] Szufla S.: Appendix to the paper : Existence theorems for Lp-solutions of integral equations in Banach spaces.Publ. Inst. Math. 43, 57 (1988), 113-116. MR 0962261 |
. |