Periodic solutions for first order neutral functional differential equations with multiple deviating arguments

Lequn Peng, and Lijuan Wang. "Periodic solutions for first order neutral functional differential equations with multiple deviating arguments." Annales Polonici Mathematici 111.2 (2014): 197-213. <http://eudml.org/doc/280438>.

@article{LequnPeng2014,
abstract = {We consider first order neutral functional differential equations with multiple deviating arguments of the form $(x(t)+Bx(t-δ))^\{\prime \} = g₀(t,x(t)) + ∑_\{k=1\}^\{n\} g_\{k\}(t,x(t-τ_\{k\}(t))) + p(t)$. By using coincidence degree theory, we establish some sufficient conditions on the existence and uniqueness of periodic solutions for the above equation. Moreover, two examples are given to illustrate the effectiveness of our results.},
author = {Lequn Peng, Lijuan Wang},
journal = {Annales Polonici Mathematici},
keywords = {first order neutral functional differential equation; periodic solution; coincidence degree},
language = {eng},
number = {2},
pages = {197-213},
title = {Periodic solutions for first order neutral functional differential equations with multiple deviating arguments},
url = {http://eudml.org/doc/280438},
volume = {111},
year = {2014},
}

TY - JOUR
AU - Lequn Peng
AU - Lijuan Wang
TI - Periodic solutions for first order neutral functional differential equations with multiple deviating arguments
JO - Annales Polonici Mathematici
PY - 2014
VL - 111
IS - 2
SP - 197
EP - 213
AB - We consider first order neutral functional differential equations with multiple deviating arguments of the form $(x(t)+Bx(t-δ))^{\prime } = g₀(t,x(t)) + ∑_{k=1}^{n} g_{k}(t,x(t-τ_{k}(t))) + p(t)$. By using coincidence degree theory, we establish some sufficient conditions on the existence and uniqueness of periodic solutions for the above equation. Moreover, two examples are given to illustrate the effectiveness of our results.
LA - eng
KW - first order neutral functional differential equation; periodic solution; coincidence degree
UR - http://eudml.org/doc/280438
ER -