Geodesic
Positive periodic solutions of a neutral functional differential equation with multiple delays
Mathematica Bohemica, Tome 143 (2018) no. 1, pp. 11-24.

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

This paper deals with the existence of positive $\omega $-periodic solutions for the neutral functional differential equation with multiple delays $$(u(t)-cu(t-\delta ))'+a(t) u(t)=f(t, u(t-\tau _1), \cdots , u(t-\tau _n)).$$ The essential inequality conditions on the existence of positive periodic solutions are obtained. These inequality conditions concern with the relations of $c$ and the coefficient function $a(t)$, and the nonlinearity $f(t, x_1,\cdots , x_n)$. Our discussion is based on the perturbation method of positive operator and fixed point index theory in cones.
DOI : 10.21136/MB.2017.0050-16
Classification : 34K13, 34K40, 47H11
Keywords: neutral delay differential equation; positive periodic solution; cone; fixed point index 
@article{10_21136_MB_2017_0050_16,
     author = {Li, Yongxiang and Liu, Ailan},
     title = {Positive periodic solutions of a neutral functional differential equation with multiple delays},
     journal = {Mathematica Bohemica},
     pages = {11--24},
     publisher = {mathdoc},
     volume = {143},
     number = {1},
     year = {2018},
     doi = {10.21136/MB.2017.0050-16},
     mrnumber = {3778047},
     zbl = {06861589},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2017.0050-16/}
}
TY  - JOUR
AU  - Li, Yongxiang
AU  - Liu, Ailan
TI  - Positive periodic solutions of a neutral functional differential equation with multiple delays
JO  - Mathematica Bohemica
PY  - 2018
SP  - 11
EP  - 24
VL  - 143
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2017.0050-16/
DO  - 10.21136/MB.2017.0050-16
LA  - en
ID  - 10_21136_MB_2017_0050_16
ER  - 
%0 Journal Article
%A Li, Yongxiang
%A Liu, Ailan
%T Positive periodic solutions of a neutral functional differential equation with multiple delays
%J Mathematica Bohemica
%D 2018
%P 11-24
%V 143
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2017.0050-16/
%R 10.21136/MB.2017.0050-16
%G en
%F 10_21136_MB_2017_0050_16
Li, Yongxiang; Liu, Ailan. Positive periodic solutions of a neutral functional differential equation with multiple delays. Mathematica Bohemica, Tome 143 (2018) no. 1, pp. 11-24. doi : 10.21136/MB.2017.0050-16. http://geodesic.mathdoc.fr/articles/10.21136/MB.2017.0050-16/

Cité par Sources :