TY - JOUR
ID - 2548
TI - Periodic Solution of a Certain Non-Linear Third Order Differential Equation
JO - Scientia Iranica
JA - SCI
LA - en
SN - 1026-3098
AU - Mehri, B.
AD - Department of Mathematical Sciences,Sharif University of Technology
Y1 - 2004
PY - 2004
VL - 11
IS - 3
SP -
EP -
DO -
N2 - In this paper, the third order differential equation x'''+\psi(x')x''+(k^2+\phi(x))x'+f(t,x)=e(t) is considered. Under certain conditions on the functions appearing in the differential equation, the existence of periodic solutions is proved. Similar problems have been treated by authors in [4,6,7]. However, the method employed here is used by Reissig [1] and the results obtained are, in fact, a generalization of those in [1-3]. The conditions imposed on the nonlinear terms do not require the ultimate boundedness of all solutions.
UR - https://scientiairanica.sharif.edu/article_2548.html
L1 -
ER -