Existence and uniqueness of periodic solutions for a kind of Duffing equation with two deviating arguments

Bingwen Liu

Annales Polonici Mathematici (2006)

  • Volume: 89, Issue: 3, page 247-258
  • ISSN: 0066-2216

Abstract

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We use the coincidence degree to establish new results on the existence and uniqueness of T-periodic solutions for a kind of Duffing equation with two deviating arguments of the form x'' + Cx'(t) + g₁(t,x(t-τ₁(t))) + g₂(t,x(t-τ₂(t))) = p(t).

How to cite

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Bingwen Liu. "Existence and uniqueness of periodic solutions for a kind of Duffing equation with two deviating arguments." Annales Polonici Mathematici 89.3 (2006): 247-258. <http://eudml.org/doc/280603>.

@article{BingwenLiu2006,
abstract = { We use the coincidence degree to establish new results on the existence and uniqueness of T-periodic solutions for a kind of Duffing equation with two deviating arguments of the form x'' + Cx'(t) + g₁(t,x(t-τ₁(t))) + g₂(t,x(t-τ₂(t))) = p(t). },
author = {Bingwen Liu},
journal = {Annales Polonici Mathematici},
keywords = {Duffing equation; Deviating argument; Periodic solution; Coincidence degree},
language = {eng},
number = {3},
pages = {247-258},
title = {Existence and uniqueness of periodic solutions for a kind of Duffing equation with two deviating arguments},
url = {http://eudml.org/doc/280603},
volume = {89},
year = {2006},
}

TY - JOUR
AU - Bingwen Liu
TI - Existence and uniqueness of periodic solutions for a kind of Duffing equation with two deviating arguments
JO - Annales Polonici Mathematici
PY - 2006
VL - 89
IS - 3
SP - 247
EP - 258
AB - We use the coincidence degree to establish new results on the existence and uniqueness of T-periodic solutions for a kind of Duffing equation with two deviating arguments of the form x'' + Cx'(t) + g₁(t,x(t-τ₁(t))) + g₂(t,x(t-τ₂(t))) = p(t).
LA - eng
KW - Duffing equation; Deviating argument; Periodic solution; Coincidence degree
UR - http://eudml.org/doc/280603
ER -

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