dc.contributor.author
Cen, Xiuli
dc.contributor.author
Llibre, Jaume
dc.contributor.author
Zhang, Meirong
dc.identifier
https://ddd.uab.cat/record/199365
dc.identifier
urn:10.1016/j.chaos.2017.11.032
dc.identifier
urn:oai:ddd.uab.cat:199365
dc.identifier
urn:gsduab:4615
dc.identifier
urn:articleid:09600779v106p285
dc.identifier
urn:scopus_id:85035759237
dc.identifier
urn:wos_id:000418932800036
dc.identifier
urn:oai:egreta.uab.cat:publications/1409ff67-8c3c-4023-9b62-b74360ad4da3
dc.description.abstract
In the present paper we study periodic solutions and their stability of the m-order differential equations of the form x^(m) f_n(x) = h(t), where the integers m, n2, f_n(x)= x^n or $^ n with = 1, and h(t) is a continuous T-periodic function of non-zero average, and is a positive small parameter. By using the averaging theory, we will give the existence of T-periodic solutions. Moreover, the instability and the linear stability of these periodic solutions will be obtained.
dc.format
application/pdf
dc.relation
Ministerio de Economía y Competitividad MTM2016-77278-P
dc.relation
Ministerio de Economía y Competitividad MTM2013-40998-P
dc.relation
Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568
dc.relation
Chaos, solitons and fractals ; Vol. 106 (Jan. 2018), p. 285-288
dc.rights
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dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.subject
M-order differential equation
dc.subject
Averaging theory
dc.subject
Periodic solution
dc.title
Periodic solutions and their stability of some higher-order positively homogenous differential equations
