FIXED POINT THEOREMS IN THE STUDY
OF POSITIVE SOLUTIONS FOR SYSTEMS
OF EQUATIONS IN ORDERED BANACH SPACES
Mohammed Said El Khannoussi1, Abderrahim Zertiti2
1$^1$D\'epartement de Math\'ematiques
Universit\'e Abdelmalek Essaadi
Facult\'e des sciences
BP 2121, T\'etouan, MOROCCO
[2pt] 2$^2$D\'epartement de Math\'ematiques
Universit\'e Abdelmalek Essaadi
Facult\'e des Sciences
BP 2121, T\'etouan, MOROCCO
Abstract. In this paper we are interested in giving some sufficient conditions for the existence of coexistence states to systems of the form
x=F1 (x,y)
y=F2 (x,y),
where F1 and F2 satisfy some conditions. The proofs will be based on the fixed point index.
AMS Subject classification: 37C25, 35P30, 47B60
Keywords and phrases: coexistence states, fixed point index, systems of equations, nonlinear integral equations, nonlinear differential equations


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DOI: 10.12732/ijam.v28i3.8

Volume: 28
Issue: 3
Year: 2015