Three periodic solutions for a class of higher-dimensional functional differential equations with impulses

Yongkun Li, Changzhao Li, and Juan Zhang. "Three periodic solutions for a class of higher-dimensional functional differential equations with impulses." Annales Polonici Mathematici 97.2 (2010): 169-183. <http://eudml.org/doc/280833>.

@article{YongkunLi2010,
abstract = {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 ⎧y’(t) = A(t)y(t) + g(t,yt), $t ≠ t_\{j\}$, j ∈ ℤ, ⎨ ⎩$y(t⁺_\{j\}) = y(t¯_\{j\}) + I_\{j\}(y(t_\{j\}))$, where $A(t) = (a_\{ij\}(t))_\{n×n\}$ is a nonsingular matrix with continuous real-valued entries.},
author = {Yongkun Li, Changzhao Li, Juan Zhang},
journal = {Annales Polonici Mathematici},
keywords = {positive periodic solutions; functional differential equations; impulses; Leggett-Williams fixed point theorem},
language = {eng},
number = {2},
pages = {169-183},
title = {Three periodic solutions for a class of higher-dimensional functional differential equations with impulses},
url = {http://eudml.org/doc/280833},
volume = {97},
year = {2010},
}

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
VL - 97
IS - 2
SP - 169
EP - 183
AB - 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 ⎧y’(t) = A(t)y(t) + g(t,yt), $t ≠ t_{j}$, j ∈ ℤ, ⎨ ⎩$y(t⁺_{j}) = y(t¯_{j}) + I_{j}(y(t_{j}))$, where $A(t) = (a_{ij}(t))_{n×n}$ is a nonsingular matrix with continuous real-valued entries.
LA - eng
KW - positive periodic solutions; functional differential equations; impulses; Leggett-Williams fixed point theorem
UR - http://eudml.org/doc/280833
ER -