Geodesic
Periodic solutions for some delay differential equations appearing in models of power systems
Bingwen Liu1 ; Lihong Huang2
1Department of Mathematics Hunan University of Arts and Science Changde, Hunan 415000, P.R. China
2College of Mathematics and Econometrics Hunan University Changsha 410082, P.R. China
Annales Polonici Mathematici, Tome 86 (2005) no. 2, pp. 153-164
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

The authors use coincidence degree theory to establish some new results on the existence of $T$-periodic solutions for the delay differential equation $$ x' '(t)+a_{1}x'(t)+a_{2}(x^{n}(t))'+a_{3}x(t)+a_{4}x(t-\tau ) +a_{5}x^{n}(t)+a_{6}x^{n}(t-\tau ) =f(t), $$ which appears in a model of a power system. These results are of practical significance.
DOI : 10.4064/ap86-2-5
Keywords: authors coincidence degree theory establish results existence t periodic solutions delay differential equation t tau t tau which appears model power system these results practical significance

Bingwen Liu  1   ; Lihong Huang  2

1 Department of Mathematics Hunan University of Arts and Science Changde, Hunan 415000, P.R. China
2 College of Mathematics and Econometrics Hunan University Changsha 410082, P.R. China 
@article{10_4064_ap86_2_5,
     author = {Bingwen Liu and Lihong Huang},
     title = {Periodic solutions for some delay differential equations
 appearing in models of power systems},
     journal = {Annales Polonici Mathematici},
     pages = {153--164},
     year = {2005},
     volume = {86},
     number = {2},
     doi = {10.4064/ap86-2-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap86-2-5/}
}
TY  - JOUR
AU  - Bingwen Liu
AU  - Lihong Huang
TI  - Periodic solutions for some delay differential equations
 appearing in models of power systems
JO  - Annales Polonici Mathematici
PY  - 2005
SP  - 153
EP  - 164
VL  - 86
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap86-2-5/
DO  - 10.4064/ap86-2-5
LA  - en
ID  - 10_4064_ap86_2_5
ER  - 
%0 Journal Article
%A Bingwen Liu
%A Lihong Huang
%T Periodic solutions for some delay differential equations
 appearing in models of power systems
%J Annales Polonici Mathematici
%D 2005
%P 153-164
%V 86
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/ap86-2-5/
%R 10.4064/ap86-2-5
%G en
%F 10_4064_ap86_2_5
Bingwen Liu; Lihong Huang. Periodic solutions for some delay differential equations
 appearing in models of power systems. Annales Polonici Mathematici, Tome 86 (2005) no. 2, pp. 153-164. doi: 10.4064/ap86-2-5

Cité par Sources :