Three periodic solutions for a class of
higher-dimensional functional differential equations with
impulses
Annales Polonici Mathematici, Tome 97 (2010) no. 2, pp. 169-183
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
By using the well-known Leggett–Williams multiple fixed point
theorem for cones, some new criteria are established for the
existence of three positive periodic solutions for a class of
$n$-dimensional functional differential equations with impulses of
the form
$$
\left\{
\eqalign{
y'(t)=A(t)y(t)+g(t,y_{t}), \quad \hbox{$t\neq t_{j}$,}\hskip2.3pt j\in\mathbb{Z}, \cr
y(t_{j}^{+})=y(t_{j}^{-})+I_{j}(y(t_{j})),\cr}
\right.
$$
where $A(t)=(a_{ij}(t))_{n\times n}$ is a nonsingular matrix with
continuous real-valued entries.
Keywords:
using well known leggett williams multiple fixed point theorem cones criteria established existence three positive periodic solutions class n dimensional functional differential equations impulses form eqalign t quad hbox neq hskip mathbb right where times nonsingular matrix continuous real valued entries
Affiliations des auteurs :
Yongkun Li 1 ; Changzhao Li 1 ; Juan Zhang 1
@article{10_4064_ap97_2_6,
author = {Yongkun Li and Changzhao Li and Juan Zhang},
title = {Three periodic solutions for a class of
higher-dimensional functional differential equations with
impulses},
journal = {Annales Polonici Mathematici},
pages = {169--183},
publisher = {mathdoc},
volume = {97},
number = {2},
year = {2010},
doi = {10.4064/ap97-2-6},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap97-2-6/}
}
TY - JOUR AU - Yongkun Li AU - Changzhao Li AU - Juan Zhang TI - Three periodic solutions for a class of higher-dimensional functional differential equations with impulses JO - Annales Polonici Mathematici PY - 2010 SP - 169 EP - 183 VL - 97 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/ap97-2-6/ DO - 10.4064/ap97-2-6 LA - en ID - 10_4064_ap97_2_6 ER -
%0 Journal Article %A Yongkun Li %A Changzhao Li %A Juan Zhang %T Three periodic solutions for a class of higher-dimensional functional differential equations with impulses %J Annales Polonici Mathematici %D 2010 %P 169-183 %V 97 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/ap97-2-6/ %R 10.4064/ap97-2-6 %G en %F 10_4064_ap97_2_6
Yongkun Li; Changzhao Li; Juan Zhang. Three periodic solutions for a class of higher-dimensional functional differential equations with impulses. Annales Polonici Mathematici, Tome 97 (2010) no. 2, pp. 169-183. doi: 10.4064/ap97-2-6
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