Abstract
The authors use fixed point index properties to prove existence of positive solutions to the abstract Hammerstein equation $u=LFu$ where $L:E\rightarrow E$ is a compact linear operator, $F:K\rightarrow K$ is a continuous and bounded mapping, $E$ is a Banach space, and $K$ is a cone in $E$. The results obtained are used to prove existence results for positive solutions to two point boundary value problems associated with differential equations.
Citation
A. Benmezai. J. R. Graef. L. Kong. "Positive Solutions for Abstract Hammerstein Equations and Applications." Commun. Math. Anal. 16 (1) 47 - 65, 2014.
Information