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
- René Schott, G. Stacey Staples, Operator homology and cohomology in Clifford algebras , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Vladimir V'yugin, Victor Maslov, Algorithmic complexity and statistical mechanics , CUBO, A Mathematical Journal: Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal
- Youssef N. Raffoul, Ernest Yankson, Positive periodic solutions of functional discrete systems with a parameter , CUBO, A Mathematical Journal: Vol. 21 No. 1 (2019)
- D. Constales, R. De Almeida, R.S. Krausshar, A Generalization of Wiman and Valiron‘s theory to the Clifford analysis setting , CUBO, A Mathematical Journal: Vol. 11 No. 1 (2009): CUBO, A Mathematical Journal
- S.S. Dragomir, Refinements of the generalized trapezoid inequality in terms of the cumulative variation and applications , CUBO, A Mathematical Journal: Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal
- H. Miranda, Robert C. Thompson, A trace inequality with a subtracted term , CUBO, A Mathematical Journal: No. 8 (1992): CUBO, Revista de Matemática
- 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
- Paolo D‘alessandro, An immediate derivation of maximum principle in Banach spaces, assuming reflexive input and state spaces , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- Branko Malešević, Dimitrije Jovanović, Frame’s Types of Inequalities and Stratification , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- Volodymyr Sushch, Green Function for a Two-Dimensional Discrete Laplace-Beltrami Operator , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): 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.










