Geodesic
Existence of positive periodic solutions of higher-order functional difference equations
Applications of Mathematics, Tome 59 (2014) no. 1, pp. 25-36.

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Based on the fixed-point theorem in a cone and some analysis skill, a new sufficient condition is obtained for the existence of positive periodic solutions for a class of higher-order functional difference equations. An example is used to illustrate the applicability of the main result.
DOI : 10.1007/s10492-014-0039-5
Classification : 34K13, 39A23, 39A70
Keywords: positive periodic solution; existence of positive periodic solution; fixed-point theorem; difference equation 
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Liu, Xin-Ge; Tang, Mei-Lan. Existence of positive periodic solutions of higher-order functional difference equations. Applications of Mathematics, Tome 59 (2014) no. 1, pp. 25-36. doi : 10.1007/s10492-014-0039-5. http://geodesic.mathdoc.fr/articles/10.1007/s10492-014-0039-5/

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