Existence theorems for equations of hammerstein type
- 1 January 1972
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 2 (4) , 385-397
- https://doi.org/10.1080/00036817208839052
Abstract
In this paper existence theorems for the Hammerstein equation u+KF(u) = 0 are proved under monotonicity and compactness assumptions upon K and coerciveness assumptions upon F. The general results are illustrated by applying them to the Hammerstein integral equation.Keywords
This publication has 3 references indexed in Scilit:
- Hammersteinsche Gleichungen mit kompakten KernenMathematische Annalen, 1970
- Ein Existenz- und Eindeutigkeitssatz für die Hammersteinsche Gleichung in BanachräumenMathematische Zeitschrift, 1969
- Monotone operators and nonlinear integral equations of Hammerstein typeBulletin of the American Mathematical Society, 1969