Electron. J. Diff. Equ., Vol. 2016 (2016), No. 171, pp. 1-13.

Topological methods in the study of positive solutions for operator equations in ordered Banach spaces

Mohammed Said El Khannoussi, Abderrahim Zertiti

Abstract:
We study completely continuous maps in ordered Banach spaces having an invariant cone. We give conditions on minorants and majorants which yield the existence of at least one non-zero fixed point.

Submitted November 23, 2015. Published July 4, 2016.
Math Subject Classifications: 37C25, 47B07, 47J10, 47B60.
Key Words: Fixed point index; nonlinear differential equation; nonlinear integral equation, fixed point theorem; positive solution.

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Mohammed Said El Khannoussi
Université Abdelmalek Essaadi
Faculté des sciences
Département de Mathématiques
BP 2121, Tétouan, Morocco
email: said_774@hotmail.com
Abderrahim Zertiti
Université Abdelmalek Essaadi
Faculté des sciences
Département de Mathématiques
BP 2121, Tétouan, Morocco
email: abdzertiti@hotmail.fr

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