Existence and comparison results for operator and differential equations in abstract spaces
The author proves a fixed-point theorem for increasing mappings \(G:P\to P\) (\(P\) a partially ordered set), together with monotone increasing dependence of selected fixed-points with respect to \(G\). The results are applied to discontinuous implicit functional-differential equations in ordered Banach spaces. Existence and comparison results are established, and several examples are discussed.
scientific article; zbMATH DE number 1866647
scientific article