EXISTENCE OF COEXISTENCE STATES FOR
SYSTEMS OF EQUATIONS IN ORDERED BANACH SPACES
Mohammed Said El Khannoussi1, Abderrahim Zertiti2 1,2Département de Mathématiques
Université Abdelmalek Essaadi
Faculté des Sciences
BP 2121, Tétouan, MOROCCO
Abstract. In this paper we give some sufficient conditions for the existence of coexistence states to systems of the form
x=F_1(x,y),
y=F_2(x,y),
where F1 and F2 satisfy some conditions.
AMS Subject classification: 37C25, 35P30, 47B60
Keywords and phrases: positive solutions, fixed point index, systems of equations, nonlinear integral equations, nonlinear differential equations
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DOI: 10.12732/ijam.v27i6.5
Volume: 27
Issue: 6
Year: 2014