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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{10_1007_s10492_014_0039_5,
     author = {Liu, Xin-Ge and Tang, Mei-Lan},
     title = {Existence of positive periodic solutions of higher-order functional difference equations},
     journal = {Applications of Mathematics},
     pages = {25--36},
     publisher = {mathdoc},
     volume = {59},
     number = {1},
     year = {2014},
     doi = {10.1007/s10492-014-0039-5},
     mrnumber = {3164574},
     zbl = {06346370},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-014-0039-5/}
}
TY  - JOUR
AU  - Liu, Xin-Ge
AU  - Tang, Mei-Lan
TI  - Existence of positive periodic solutions of higher-order functional difference equations
JO  - Applications of Mathematics
PY  - 2014
SP  - 25
EP  - 36
VL  - 59
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-014-0039-5/
DO  - 10.1007/s10492-014-0039-5
LA  - en
ID  - 10_1007_s10492_014_0039_5
ER  - 
%0 Journal Article
%A Liu, Xin-Ge
%A Tang, Mei-Lan
%T Existence of positive periodic solutions of higher-order functional difference equations
%J Applications of Mathematics
%D 2014
%P 25-36
%V 59
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-014-0039-5/
%R 10.1007/s10492-014-0039-5
%G en
%F 10_1007_s10492_014_0039_5
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

Cité par Sources :