TY - JOUR
T1 - Periodic orbits of the fourth-order non-autonomous differential equation u''''+ qu'' + pu = εf (t, u, u', u'', u''')
AU - Llibre, Jaume
AU - Makhlouf, Amar
PY - 2012/10/15
Y1 - 2012/10/15
N2 - We provide sufficient conditions for the existence of periodic solutions of the fourth-order differential equation u''''+ qu''+pu = εF(t,u, u', u'', u'''),where q,p and are real parameters, is small and F is a nonlinear non-autonomous periodic function with respect to t. Moreover we provide some applications. © 2012 Elsevier Inc. All rights reserved.
AB - We provide sufficient conditions for the existence of periodic solutions of the fourth-order differential equation u''''+ qu''+pu = εF(t,u, u', u'', u'''),where q,p and are real parameters, is small and F is a nonlinear non-autonomous periodic function with respect to t. Moreover we provide some applications. © 2012 Elsevier Inc. All rights reserved.
KW - Averaging theory
KW - Fourth-order differential equation
KW - Periodic orbit
U2 - https://doi.org/10.1016/j.amc.2012.06.047
DO - https://doi.org/10.1016/j.amc.2012.06.047
M3 - Article
SN - 0096-3003
VL - 219
SP - 827
EP - 836
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 3
ER -