Geodesic
An extension of invertibility of Hammerstein-type operators
Czechoslovak Mathematical Journal, Tome 49 (1999) no. 2, pp. 341-346

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My aim is to show that some properties, proved to be true for the square matrices, are true for some not necessarily linear operators on a linear space, in particular, for Hammerstein-type operators.
My aim is to show that some properties, proved to be true for the square matrices, are true for some not necessarily linear operators on a linear space, in particular, for Hammerstein-type operators.
Classification : 47H30, 47J05 
Tunaru, Radu. An extension of invertibility of Hammerstein-type operators. Czechoslovak Mathematical Journal, Tome 49 (1999) no. 2, pp. 341-346. http://geodesic.mathdoc.fr/item/CMJ_1999_49_2_a9/
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     zbl = {0954.47050},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_1999_49_2_a9/}
}
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[Brezis] Brezis, H. and Browder, F.F.: Nonlinear integral equations and systems of Hammerstein-type. Advances in Math. 18 (1975), 115–147. | DOI | MR

[Dolezal1] Dole$\check{z}$al, V.: Monotone Operators and Applications in Control and Network Theory. Elsevier, 1979.

[Dolezal2] Dole$\check{z}$al, V.: A remark on inversability of Hammerstein type operators. Applied Mathematical Letters 5 (1992), 29–31. | DOI | MR