Periodic solutions for coupled first order nonlinear differential systems of Hamiltonian type

1984 ◽  
Vol 8 (11) ◽  
pp. 1271-1285 ◽  
Author(s):  
Chaitan P. Gupta
Keyword(s):  
Periodic Solutions ◽  
Differential Systems ◽  
First Order ◽  
Nonlinear Differential Systems

scholarly journals ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF NONLINEAR DIFFERENTIAL SYSTEMS

1993 ◽  
Vol 24 (2) ◽  
pp. 173-188
Author(s):  
LIHONG HUANG ◽  
JIANSHE YU
Keyword(s):  
Periodic Solutions ◽  
Special Form ◽  
Differential Systems ◽  
Nontrivial Periodic Solutions ◽  
Existence Of Periodic Solutions ◽  
Nonlinear Differential Systems

In this paper three theorems on the existence of nontrivial periodic solutions of the system \[ dx/dt =e(y)\]\[dy/dt =-e(y)f(x)- g(x)\] are proved, which not only generalize some known results on the existence of periodic solutions of Lienard's system (i.e. the special form for $e(y) = y$), but also relax or eliminate some traditional assumptions.

Sign in / Sign up

Export Citation Format

Share Document