TY - JOUR
T1 - Periodic solutions of the higher-dimensional non-autonomous systems
AU - Koch, M.
AU - Yediler, A.
AU - Lienert, D.
AU - Insel, G.
AU - Kettrup, A.
PY - 2002/8/15
Y1 - 2002/8/15
N2 - In this paper, the new existence theorem, unique theorem of periodic solution of the periodic system ẋ = A (t,x)x+g(t,x) and new stationary oscillation theorem of the periodic system ẋ = f(t,x)+g(t,x) are derived by using functional analysis method, algebraic method and the new estimated formulas of solution of the homogenous linear system. Our results extend and improve some main results related to references. In addition, these criteria are of great interest in many applications such as computation.
AB - In this paper, the new existence theorem, unique theorem of periodic solution of the periodic system ẋ = A (t,x)x+g(t,x) and new stationary oscillation theorem of the periodic system ẋ = f(t,x)+g(t,x) are derived by using functional analysis method, algebraic method and the new estimated formulas of solution of the homogenous linear system. Our results extend and improve some main results related to references. In addition, these criteria are of great interest in many applications such as computation.
KW - Existence
KW - Non-autonomous
KW - Periodic solution
KW - Stationary oscillation
KW - Uniqueness
UR - http://www.scopus.com/inward/record.url?scp=0037102880&partnerID=8YFLogxK
U2 - 10.1016/S0096-3003(01)00102-3
DO - 10.1016/S0096-3003(01)00102-3
M3 - Article
AN - SCOPUS:0037102880
SN - 0096-3003
VL - 130
SP - 369
EP - 382
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 2-3
ER -