Positive Operators and Maximum Principles for Ordinary Differential Equations

Downloads

Abstract

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.

Keywords

Maximum principle , Positive operators , sign properties of Green‘s functions
  • Paul W. Eloe Department of Mathematics, University of Dayton Dayton, Ohio 45469-2316, USA.
  • Pages: 237 - 260
  • Date Published: 2005-08-01
  • Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal

Downloads

Download data is not yet available.

Published

2005-08-01

How to Cite

[1]
P. W. Eloe, “Positive Operators and Maximum Principles for Ordinary Differential Equations”, CUBO, vol. 7, no. 2, pp. 237–260, Aug. 2005.

Issue

Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal

Section

Articles