TY  - JOUR
ID  - Dronka2010
LB  - Dronka2010
AU  - Dronka, Janusz
TI  - On some properties of the superposition operator on topological manifolds
ST  - On some properties of the superposition operator on topological manifolds
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2010
VL  - 30
IS  - 1
SP  - 69
EP  - 77
DO  - http://dx.doi.org/10.7494/OpMath.2010.30.1.69
UR  - http://dx.doi.org/10.7494/OpMath.2010.30.1.69
AB  - In this paper the superposition operator in the space of vector-valued, bounded and continuous functions on a topological manifold is considered. The acting conditions and criteria of continuity and compactness are established. As an application, an existence result for the nonlinear Hammerstein integral equation is obtained.
KW  - superposition operator
KW  - continuous function
KW  - topological manifold
KW  - Hammerstein integral equation
SN  - 1232-9274
ER  -