Geodesic
Stability and periodicity of solutions for delay dynamic systems on time scales
Electronic journal of differential equations, Tome 2014 (2014)
This article concerns the stability and periodicity of solutions to the delay dynamic system

$ x^{\triangle}(t)=A(t) x(t) + F(t, x(t), x(g(t)))+C(t) $

on a time scale. By the inequality technique for vectors, we obtain some stability criteria for the above system. Then, by using the Horn fixed point theorem, we present some conditions under which our system is asymptotically periodic and its periodic solution is unique. In particular, the periodic solution is positive under proper assumptions.
Classification : 34N05, 34K13, 34K20
Keywords: delay dynamic system, stability, periodic solution, fixed point, time scales 
@article{EJDE_2014__2014__a57,
     author = {Zhu,  Zhi-Qiang and Wang,  Qi-Ru},
     title = {Stability and periodicity of solutions for delay dynamic systems on time scales},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1300.34207},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a57/}
}
TY  - JOUR
AU  - Zhu,  Zhi-Qiang
AU  - Wang,  Qi-Ru
TI  - Stability and periodicity of solutions for delay dynamic systems on time scales
JO  - Electronic journal of differential equations
PY  - 2014
VL  - 2014
UR  - http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a57/
LA  - en
ID  - EJDE_2014__2014__a57
ER  - 
%0 Journal Article
%A Zhu,  Zhi-Qiang
%A Wang,  Qi-Ru
%T Stability and periodicity of solutions for delay dynamic systems on time scales
%J Electronic journal of differential equations
%D 2014
%V 2014
%U http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a57/
%G en
%F EJDE_2014__2014__a57
Zhu,  Zhi-Qiang; Wang,  Qi-Ru. Stability and periodicity of solutions for delay dynamic systems on time scales. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a57/