scholarly journals Existence of positive periodic solutions of neutral nonlinear differential systems with variable delays

2019 ◽  
Vol 3 (2) ◽  
pp. 19-31
Author(s):  
Hocine Gabsi ◽  
◽  
Abdelouaheb Ardjouni ◽  
Ahcene Djoudi ◽  
◽  
...  
Keyword(s):  
Periodic Solutions ◽  
Positive Periodic Solutions ◽  
Differential Systems ◽  
Variable Delays ◽  
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.

scholarly journals Twin positive periodic solutions of second order singular differential systems

2005 ◽  
Vol 25 (2) ◽  
pp. 263 ◽  
Author(s):  
Xiaoning Lin ◽  
Daqing Jiang ◽  
Donal O'Regan ◽  
Ravi P. Agarwal
Keyword(s):  
Periodic Solutions ◽  
Second Order ◽  
Positive Periodic Solutions ◽  
Differential Systems
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