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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
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Category: math
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MSC: 45G10
MSC: 45N05
MSC: 47H09
MSC: 47H15
MSC: 47H30
idZBL: Zbl 0741.45005
idMR: MR1091365
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Date available: 2008-06-05T21:45:56Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106903
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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
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