Home > Articles > Published articles > Periodic solutions and their stability of some higher-order positively homogenous differential equations |
Date: | 2018 |
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. |
Grants: | Ministerio de Economía y Competitividad MTM2016-77278-P Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | M-order differential equation ; Averaging theory ; Periodic solution ; Stability |
Published in: | Chaos, solitons and fractals, Vol. 106 (Jan. 2018) , p. 285-288, ISSN 0960-0779 |
Postprint 10 p, 627.7 KB |