We show an equivalence between a classical maximum principle in differential equations and positive operators on Banach Spaces. Then we shall exhibit many types of boundary value problems for which the maximum principle is valid. Finally, we shall present extended applications of the maximum principle that have arisen with the continued study of the qualitative properties of Green’s functions.
@article{1551,
title = {Positive Operators and Maximum Principles for Ordinary Differential Equations},
journal = {CUBO, A Mathematical Journal},
volume = {7},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/1551}
}
Eloe, Paul W. Positive Operators and Maximum Principles for Ordinary Differential Equations. CUBO, A Mathematical Journal, Tome 7 (2005) 24 p. http://gdmltest.u-ga.fr/item/1551/