Geodesic
Positive Solutions for a Second-Order Difference Equation with Summation Boundary Conditions
Kragujevac Journal of Mathematics, Tome 41 (2017) no. 2, p. 167 .

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In this article we study the existence of positive solutions for a second-order difference equation with summation boundary conditions. The main tool employed here is the Krasnoselskii's fixed point theorem in a cone.
Classification : 39A05 39A10, 39A12
Keywords: Positive solutions, Krasnoselskii's fixed point theorem, difference equations, three-point summation boundary value problems, cones 
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F. Bouchelaghem; A. Ardjouni; A. Djoudi. Positive Solutions for a Second-Order Difference Equation with Summation Boundary Conditions. Kragujevac Journal of Mathematics, Tome 41 (2017) no. 2, p. 167 . http://geodesic.mathdoc.fr/item/KJM_2017_41_2_a0/