Positive Operators and Maximum Principles for Ordinary Differential Equations
-
Paul W. Eloe
Paul.Eloe@notes.udayton.edu
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
Most read articles by the same author(s)
- Paul W. Eloe, Jeffrey T. Neugebauer, Maximum, anti-maximum principles and monotone methods for boundary value problems for Riemann-Liouville fractional differential equations in neighborhoods of simple eigenvalues , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
Similar Articles
- H. O. Fattorini, Sufficiency of the maximum principle for time optimality , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
- George A. Anastassiou, Razvan A. Mezei, Uniform convergence with rates of general singular operators , CUBO, A Mathematical Journal: Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal
- Abdellatif Moudafi, Computing the resolvent of composite operators , CUBO, A Mathematical Journal: Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal
- Alexander Pankov, Discrete almost periodic operators , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- George A. Anastassiou, Higher order multivariate Fuzzy approximation by basic neural network operators , CUBO, A Mathematical Journal: Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal
- T.M.M. Sow, A new iterative method based on the modified proximal-point algorithm for finding a common null point of an infinite family of accretive operators in Banach spaces , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
- B. Bhowmik, K.-J. Wirths, S. Ponnusamy, On some problems of James Miller , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
- A. El-Sayed Ahmed, A. Kamal, T.I. Yassen, Characterizations for certain analytic functions by series expansions with Hadamard gaps , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
- Moussa Barro, Sado Traoré, Level sets regularization with application to optimization problems , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
- Smaïl Djebali, Ouiza Saifi, Upper and lower solutions for φ−Laplacian third-order BVPs on the half-Line , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
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
Section
Articles
